TSTP Solution File: SWW098+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW098+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:18:30 EDT 2022

% Result   : Theorem 25.03s 3.55s
% Output   : Refutation 25.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  116
% Syntax   : Number of formulae    : 1287 (  85 unt;   0 def)
%            Number of atoms       : 4035 ( 954 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 5181 (2433   ~;2590   |;  49   &)
%                                         (  79 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   79 (  77 usr;  75 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  17 con; 0-3 aty)
%            Number of variables   :  354 ( 338   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25797,plain,
    $false,
    inference(avatar_sat_refutation,[],[f297,f301,f451,f476,f743,f757,f793,f817,f833,f937,f963,f1012,f1049,f1412,f1569,f1579,f1589,f1590,f1692,f2303,f2489,f2496,f2504,f2506,f2777,f2783,f5305,f6378,f6393,f6398,f6399,f6400,f6724,f6747,f6788,f6800,f7067,f7109,f7111,f7126,f7131,f7224,f7252,f7258,f7336,f7338,f7356,f7373,f7524,f7539,f7582,f7587,f8587,f8590,f9379,f9651,f9690,f9695,f9701,f9712,f9733,f9782,f9795,f9929,f9975,f9979,f9986,f10035,f10111,f10237,f10328,f10460,f10484,f10566,f10674,f10718,f10759,f10789,f11065,f13818,f15136,f15182,f15255,f15306,f15384,f15444,f15452,f15536,f16089,f16149,f16284,f16307,f16666,f16719,f16739,f16754,f16790,f16819,f16947,f16973,f16979,f17108,f17181,f17276,f17283,f17302,f17417,f17425,f17433,f17447,f17542,f17583,f17798,f17842,f18538,f18677,f18696,f18701,f18714,f18728,f18833,f19500,f19508,f19512,f19516,f19746,f19811,f19815,f19826,f19925,f20000,f20020,f20031,f20051,f20178,f20204,f20240,f20438,f20444,f20633,f20677,f20748,f20767,f20783,f20807,f20818,f20909,f22239,f22242,f22247,f22483,f22636,f23951,f23980,f24110,f24310,f24382,f24475,f24499,f24556,f24597,f24610,f24631,f24672,f24701,f24917,f24925,f24928,f24934,f24935,f24942,f25100,f25113,f25123,f25127,f25201,f25748,f25787]) ).

fof(f25787,plain,
    ( ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_94 ),
    inference(avatar_contradiction_clause,[],[f25786]) ).

fof(f25786,plain,
    ( $false
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_94 ),
    inference(subsumption_resolution,[],[f25785,f7124]) ).

fof(f7124,plain,
    ( err = sF15
    | ~ spl18_94 ),
    inference(avatar_component_clause,[],[f7122]) ).

fof(f7122,plain,
    ( spl18_94
  <=> err = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).

fof(f25785,plain,
    ( err != sF15
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f22497,f25780]) ).

fof(f25780,plain,
    ( err = sF17
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f25732,f6373]) ).

fof(f6373,plain,
    ( err = lazy_impl(true,sK7)
    | ~ spl18_73 ),
    inference(avatar_component_clause,[],[f6371]) ).

fof(f6371,plain,
    ( spl18_73
  <=> err = lazy_impl(true,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).

fof(f25732,plain,
    ( sF17 = lazy_impl(true,sK7)
    | ~ spl18_37
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f25660,f25729]) ).

fof(f25729,plain,
    ( impl(true,sK7) = sF17
    | ~ spl18_37
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f25728,f24929]) ).

fof(f24929,plain,
    ( sF17 = or1(false1,sK7)
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f270,f1689]) ).

fof(f1689,plain,
    ( false1 = sK8
    | ~ spl18_37 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f1687,plain,
    ( spl18_37
  <=> false1 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).

fof(f270,plain,
    sF17 = or1(sK8,sK7),
    introduced(function_definition,[]) ).

fof(f25728,plain,
    ( impl(true,sK7) = or1(false1,sK7)
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f25671,f25660]) ).

fof(f25671,plain,
    ( lazy_impl(true,sK7) = or1(false1,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f25636,f529]) ).

fof(f529,plain,
    ! [X20] :
      ( bool(X20)
      | or1(false1,X20) = lazy_impl(true,X20) ),
    inference(resolution,[],[f251,f258]) ).

fof(f258,plain,
    bool(false1),
    inference(equality_resolution,[],[f234]) ).

fof(f234,plain,
    ! [X0] :
      ( bool(X0)
      | false1 != X0 ),
    inference(definition_unfolding,[],[f174,f201]) ).

fof(f201,plain,
    false = false1,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).

fof(f174,plain,
    ! [X0] :
      ( bool(X0)
      | false != X0 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( false = X0
        | true = X0
        | ~ bool(X0) )
      & ( bool(X0)
        | ( false != X0
          & true != X0 ) ) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ( false = X0
        | true = X0
        | ~ bool(X0) )
      & ( bool(X0)
        | ( false != X0
          & true != X0 ) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ( false = X0
        | true = X0 )
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | or1(X0,X1) = lazy_impl(true,X1) ),
    inference(definition_unfolding,[],[f202,f149]) ).

fof(f149,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | or1(X0,X1) = phi(X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | or1(X0,X1) = phi(X1) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X1,X0] :
      ( or1(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ( ~ bool(X1)
        & bool(X0) )
     => or1(X0,X1) = phi(X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X2,X3] :
      ( ( ~ bool(X3)
        & bool(X2) )
     => phi(X3) = or1(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom2) ).

fof(f25636,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f25627]) ).

fof(f25627,plain,
    ( false1 != false1
    | ~ bool(sK7)
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f6968,plain,
    ( false1 = prop(sK7)
    | ~ spl18_84 ),
    inference(avatar_component_clause,[],[f6966]) ).

fof(f6966,plain,
    ( spl18_84
  <=> false1 = prop(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_84])]) ).

fof(f222,plain,
    ! [X0] :
      ( prop(X0) != false1
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f152,f201]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false != prop(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( ~ bool(X0)
        | false != prop(X0) )
      & ( false = prop(X0)
        | bool(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ bool(X0)
    <=> false = prop(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).

fof(f25660,plain,
    ( impl(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f25636,f510]) ).

fof(f510,plain,
    ! [X19] :
      ( bool(X19)
      | lazy_impl(true,X19) = impl(true,X19) ),
    inference(resolution,[],[f229,f259]) ).

fof(f259,plain,
    bool(true),
    inference(equality_resolution,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( bool(X0)
      | true != X0 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | impl(X0,X1) = lazy_impl(true,X1) ),
    inference(definition_unfolding,[],[f166,f149]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | impl(X0,X1) = phi(X1)
      | bool(X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | impl(X0,X1) = phi(X1)
      | bool(X1) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0] :
      ( impl(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ( ~ bool(X1)
        & bool(X0) )
     => impl(X0,X1) = phi(X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X3] :
      ( ( bool(X2)
        & ~ bool(X3) )
     => impl(X2,X3) = phi(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom2) ).

fof(f22497,plain,
    ( sF15 != sF17
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f271,f7097]) ).

fof(f7097,plain,
    ( sF15 = sF16
    | ~ spl18_90 ),
    inference(avatar_component_clause,[],[f7095]) ).

fof(f7095,plain,
    ( spl18_90
  <=> sF15 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).

fof(f271,plain,
    sF16 != sF17,
    inference(definition_folding,[],[f252,f270,f269,f268,f267,f266,f262,f265,f262,f264,f262,f263,f262]) ).

fof(f263,plain,
    prop(sF9) = sF10,
    introduced(function_definition,[]) ).

fof(f264,plain,
    impl(sK8,sF9) = sF11,
    introduced(function_definition,[]) ).

fof(f265,plain,
    impl(sK7,sF9) = sF12,
    introduced(function_definition,[]) ).

fof(f262,plain,
    sK4(sK7,sK8) = sF9,
    introduced(function_definition,[]) ).

fof(f266,plain,
    impl(sF12,sF9) = sF13,
    introduced(function_definition,[]) ).

fof(f267,plain,
    sF14 = impl(sF11,sF13),
    introduced(function_definition,[]) ).

fof(f268,plain,
    lazy_impl(sF10,sF14) = sF15,
    introduced(function_definition,[]) ).

fof(f269,plain,
    lazy_impl(true,sF15) = sF16,
    introduced(function_definition,[]) ).

fof(f252,plain,
    lazy_impl(true,lazy_impl(prop(sK4(sK7,sK8)),impl(impl(sK8,sK4(sK7,sK8)),impl(impl(sK7,sK4(sK7,sK8)),sK4(sK7,sK8))))) != or1(sK8,sK7),
    inference(definition_unfolding,[],[f203,f214]) ).

fof(f214,plain,
    ! [X0,X1] : lazy_impl(true,lazy_impl(prop(sK4(X0,X1)),impl(impl(X1,sK4(X0,X1)),impl(impl(X0,sK4(X0,X1)),sK4(X0,X1))))) = or2(X1,X0),
    inference(definition_unfolding,[],[f169,f149,f155]) ).

fof(f155,plain,
    ! [X2,X0,X1] : lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))) = f3(X0,X1,X2),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] : lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))) = f3(X0,X1,X2),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] : f3(X2,X0,X1) = lazy_impl(prop(X1),impl(impl(X2,X1),impl(impl(X0,X1),X1))),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X5,X6,X4] : f3(X4,X5,X6) = lazy_impl(prop(X6),impl(impl(X4,X6),impl(impl(X5,X6),X6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f3) ).

fof(f169,plain,
    ! [X0,X1] : or2(X1,X0) = phi(f3(X1,X0,sK4(X0,X1))),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( or2(X1,X0) = phi(f3(X1,X0,sK4(X0,X1)))
      & ! [X3] : ~ forallprefers(f3(X1,X0,X3),f3(X1,X0,sK4(X0,X1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f88,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( phi(f3(X1,X0,X2)) = or2(X1,X0)
          & ! [X3] : ~ forallprefers(f3(X1,X0,X3),f3(X1,X0,X2)) )
     => ( or2(X1,X0) = phi(f3(X1,X0,sK4(X0,X1)))
        & ! [X3] : ~ forallprefers(f3(X1,X0,X3),f3(X1,X0,sK4(X0,X1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0,X1] :
    ? [X2] :
      ( phi(f3(X1,X0,X2)) = or2(X1,X0)
      & ! [X3] : ~ forallprefers(f3(X1,X0,X3),f3(X1,X0,X2)) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
    ? [X2] :
      ( phi(f3(X1,X0,X2)) = or2(X1,X0)
      & ~ ? [X3] : forallprefers(f3(X1,X0,X3),f3(X1,X0,X2)) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X5,X4] :
    ? [X6] :
      ( or2(X4,X5) = phi(f3(X4,X5,X6))
      & ~ ? [X7] : forallprefers(f3(X4,X5,X7),f3(X4,X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_or2) ).

fof(f203,plain,
    or1(sK8,sK7) != or2(sK8,sK7),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    or1(sK8,sK7) != or2(sK8,sK7),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f106,f140]) ).

fof(f140,plain,
    ( ? [X0,X1] : or2(X1,X0) != or1(X1,X0)
   => or1(sK8,sK7) != or2(sK8,sK7) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ? [X0,X1] : or2(X1,X0) != or1(X1,X0),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ~ ! [X1,X0] : or2(X1,X0) = or1(X1,X0),
    inference(rectify,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X5,X4] : or2(X4,X5) = or1(X4,X5),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X5,X4] : or2(X4,X5) = or1(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_or2) ).

fof(f25748,plain,
    ( spl18_78
    | ~ spl18_37
    | ~ spl18_84
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f25742,f8597,f6966,f1687,f6395]) ).

fof(f6395,plain,
    ( spl18_78
  <=> lazy_impl(true,sK7) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).

fof(f8597,plain,
    ( spl18_106
  <=> and1(true,sK7) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_106])]) ).

fof(f25742,plain,
    ( lazy_impl(true,sK7) = sK7
    | ~ spl18_37
    | ~ spl18_84
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f25732,f25738]) ).

fof(f25738,plain,
    ( sF17 = sK7
    | ~ spl18_37
    | ~ spl18_84
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f25730,f8599]) ).

fof(f8599,plain,
    ( and1(true,sK7) = sK7
    | ~ spl18_106 ),
    inference(avatar_component_clause,[],[f8597]) ).

fof(f25730,plain,
    ( sF17 = and1(true,sK7)
    | ~ spl18_37
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f25726,f25729]) ).

fof(f25726,plain,
    ( impl(true,sK7) = and1(true,sK7)
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f25672,f25660]) ).

fof(f25672,plain,
    ( and1(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f25636,f13749]) ).

fof(f13749,plain,
    ! [X16] :
      ( bool(X16)
      | lazy_impl(true,X16) = and1(true,X16) ),
    inference(resolution,[],[f238,f259]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ bool(X1)
      | and1(X1,X0) = lazy_impl(true,X0)
      | bool(X0) ),
    inference(definition_unfolding,[],[f182,f149]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( phi(X0) = and1(X1,X0)
      | bool(X0)
      | ~ bool(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( phi(X0) = and1(X1,X0)
      | bool(X0)
      | ~ bool(X1) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0] :
      ( phi(X0) = and1(X1,X0)
      | bool(X0)
      | ~ bool(X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( ( ~ bool(X0)
        & bool(X1) )
     => phi(X0) = and1(X1,X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X2] :
      ( ( ~ bool(X3)
        & bool(X2) )
     => phi(X3) = and1(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_axiom2) ).

fof(f25201,plain,
    ( spl18_75
    | ~ spl18_73
    | ~ spl18_116 ),
    inference(avatar_split_clause,[],[f25200,f9875,f6371,f6380]) ).

fof(f6380,plain,
    ( spl18_75
  <=> err = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).

fof(f9875,plain,
    ( spl18_116
  <=> lazy_impl(true,sK7) = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_116])]) ).

fof(f25200,plain,
    ( err = sF13
    | ~ spl18_73
    | ~ spl18_116 ),
    inference(backward_demodulation,[],[f9877,f6373]) ).

fof(f9877,plain,
    ( lazy_impl(true,sK7) = sF13
    | ~ spl18_116 ),
    inference(avatar_component_clause,[],[f9875]) ).

fof(f25127,plain,
    ( spl18_73
    | ~ spl18_31
    | ~ spl18_76 ),
    inference(avatar_split_clause,[],[f25126,f6385,f1565,f6371]) ).

fof(f1565,plain,
    ( spl18_31
  <=> sF12 = lazy_impl(true,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).

fof(f6385,plain,
    ( spl18_76
  <=> err = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).

fof(f25126,plain,
    ( err = lazy_impl(true,sK7)
    | ~ spl18_31
    | ~ spl18_76 ),
    inference(forward_demodulation,[],[f1567,f6387]) ).

fof(f6387,plain,
    ( err = sF12
    | ~ spl18_76 ),
    inference(avatar_component_clause,[],[f6385]) ).

fof(f1567,plain,
    ( sF12 = lazy_impl(true,sK7)
    | ~ spl18_31 ),
    inference(avatar_component_clause,[],[f1565]) ).

fof(f25123,plain,
    ( spl18_94
    | ~ spl18_93
    | ~ spl18_122 ),
    inference(avatar_split_clause,[],[f25119,f10662,f7118,f7122]) ).

fof(f7118,plain,
    ( spl18_93
  <=> sF14 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_93])]) ).

fof(f10662,plain,
    ( spl18_122
  <=> err = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_122])]) ).

fof(f25119,plain,
    ( err = sF15
    | ~ spl18_93
    | ~ spl18_122 ),
    inference(backward_demodulation,[],[f7120,f10664]) ).

fof(f10664,plain,
    ( err = sF14
    | ~ spl18_122 ),
    inference(avatar_component_clause,[],[f10662]) ).

fof(f7120,plain,
    ( sF14 = sF15
    | ~ spl18_93 ),
    inference(avatar_component_clause,[],[f7118]) ).

fof(f25113,plain,
    ( ~ spl18_10
    | spl18_34
    | ~ spl18_39
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f25112]) ).

fof(f25112,plain,
    ( $false
    | ~ spl18_10
    | spl18_34
    | ~ spl18_39
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f25111,f25103]) ).

fof(f25103,plain,
    ( true != sF14
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f25102,f324]) ).

fof(f324,plain,
    true = lazy_impl(true,true),
    inference(resolution,[],[f227,f190]) ).

fof(f190,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( d(false)
    & d(true)
    & d(err) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).

fof(f227,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f164,f149]) ).

fof(f164,plain,
    ! [X0] :
      ( phi(X0) = X0
      | ~ d(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( phi(X0) = X0
        & d(X0) )
      | ( err = phi(X0)
        & ~ d(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).

fof(f25102,plain,
    ( sF14 != lazy_impl(true,true)
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f1582,f10907]) ).

fof(f10907,plain,
    ( true = sF11
    | ~ spl18_123 ),
    inference(avatar_component_clause,[],[f10905]) ).

fof(f10905,plain,
    ( spl18_123
  <=> true = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_123])]) ).

fof(f1582,plain,
    ( sF14 != lazy_impl(true,sF11)
    | spl18_34 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1581,plain,
    ( spl18_34
  <=> sF14 = lazy_impl(true,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).

fof(f25111,plain,
    ( true = sF14
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f25110,f312]) ).

fof(f312,plain,
    true = impl(true,true),
    inference(resolution,[],[f170,f259]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4) ).

fof(f25110,plain,
    ( sF14 = impl(true,true)
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24922,f25046]) ).

fof(f25046,plain,
    ( true = sF13
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f25039,f334]) ).

fof(f334,plain,
    true = impl(false1,false1),
    inference(resolution,[],[f250,f258]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false1,X0) ),
    inference(definition_unfolding,[],[f200,f201]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false,X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false,X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3) ).

fof(f25039,plain,
    ( impl(false1,false1) = sF13
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(backward_demodulation,[],[f24994,f25030]) ).

fof(f25030,plain,
    ( false1 = sF12
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f25029,f313]) ).

fof(f313,plain,
    false1 = impl(true,false1),
    inference(resolution,[],[f170,f258]) ).

fof(f25029,plain,
    ( impl(true,false1) = sF12
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f25028,f2295]) ).

fof(f2295,plain,
    ( true = sK7
    | ~ spl18_39 ),
    inference(avatar_component_clause,[],[f2293]) ).

fof(f2293,plain,
    ( spl18_39
  <=> true = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).

fof(f25028,plain,
    ( impl(sK7,false1) = sF12
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f265,f471]) ).

fof(f471,plain,
    ( false1 = sF9
    | ~ spl18_10 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl18_10
  <=> false1 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).

fof(f24994,plain,
    ( impl(sF12,false1) = sF13
    | ~ spl18_10 ),
    inference(backward_demodulation,[],[f266,f471]) ).

fof(f24922,plain,
    ( sF14 = impl(true,sF13)
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f267,f10907]) ).

fof(f25100,plain,
    ( ~ spl18_34
    | ~ spl18_83
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f25099]) ).

fof(f25099,plain,
    ( $false
    | ~ spl18_34
    | ~ spl18_83
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f25098,f24806]) ).

fof(f24806,plain,
    ( true = sF15
    | ~ spl18_34
    | ~ spl18_93
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f7120,f24801]) ).

fof(f24801,plain,
    ( true = sF14
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24800,f324]) ).

fof(f24800,plain,
    ( sF14 = lazy_impl(true,true)
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f1583,f10907]) ).

fof(f1583,plain,
    ( sF14 = lazy_impl(true,sF11)
    | ~ spl18_34 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f25098,plain,
    ( true != sF15
    | ~ spl18_83
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f22497,f6964]) ).

fof(f6964,plain,
    ( true = sF17
    | ~ spl18_83 ),
    inference(avatar_component_clause,[],[f6962]) ).

fof(f6962,plain,
    ( spl18_83
  <=> true = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_83])]) ).

fof(f24942,plain,
    ( spl18_115
    | ~ spl18_78
    | ~ spl18_116 ),
    inference(avatar_split_clause,[],[f24941,f9875,f6395,f9776]) ).

fof(f9776,plain,
    ( spl18_115
  <=> sK7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_115])]) ).

fof(f24941,plain,
    ( sK7 = sF13
    | ~ spl18_78
    | ~ spl18_116 ),
    inference(forward_demodulation,[],[f9877,f6397]) ).

fof(f6397,plain,
    ( lazy_impl(true,sK7) = sK7
    | ~ spl18_78 ),
    inference(avatar_component_clause,[],[f6395]) ).

fof(f24935,plain,
    ( ~ spl18_74
    | spl18_31
    | ~ spl18_78 ),
    inference(avatar_split_clause,[],[f22680,f6395,f1565,f6375]) ).

fof(f6375,plain,
    ( spl18_74
  <=> sF12 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).

fof(f22680,plain,
    ( sF12 != sK7
    | spl18_31
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f1566,f6397]) ).

fof(f1566,plain,
    ( sF12 != lazy_impl(true,sK7)
    | spl18_31 ),
    inference(avatar_component_clause,[],[f1565]) ).

fof(f24934,plain,
    ( ~ spl18_40
    | ~ spl18_37
    | spl18_53
    | ~ spl18_114 ),
    inference(avatar_split_clause,[],[f24933,f9613,f2513,f1687,f2297]) ).

fof(f2297,plain,
    ( spl18_40
  <=> false1 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).

fof(f2513,plain,
    ( spl18_53
  <=> lazy_impl(true,sK8) = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).

fof(f9613,plain,
    ( spl18_114
  <=> sK7 = or1(false1,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_114])]) ).

fof(f24933,plain,
    ( false1 != sK7
    | ~ spl18_37
    | spl18_53
    | ~ spl18_114 ),
    inference(forward_demodulation,[],[f24932,f325]) ).

fof(f325,plain,
    false1 = lazy_impl(true,false1),
    inference(resolution,[],[f227,f242]) ).

fof(f242,plain,
    d(false1),
    inference(definition_unfolding,[],[f191,f201]) ).

fof(f191,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f24932,plain,
    ( lazy_impl(true,false1) != sK7
    | ~ spl18_37
    | spl18_53
    | ~ spl18_114 ),
    inference(forward_demodulation,[],[f24931,f1689]) ).

fof(f24931,plain,
    ( lazy_impl(true,sK8) != sK7
    | ~ spl18_37
    | spl18_53
    | ~ spl18_114 ),
    inference(forward_demodulation,[],[f2514,f24930]) ).

fof(f24930,plain,
    ( sF17 = sK7
    | ~ spl18_37
    | ~ spl18_114 ),
    inference(forward_demodulation,[],[f24929,f9615]) ).

fof(f9615,plain,
    ( sK7 = or1(false1,sK7)
    | ~ spl18_114 ),
    inference(avatar_component_clause,[],[f9613]) ).

fof(f2514,plain,
    ( lazy_impl(true,sK8) != sF17
    | spl18_53 ),
    inference(avatar_component_clause,[],[f2513]) ).

fof(f24928,plain,
    ( spl18_171
    | spl18_32 ),
    inference(avatar_split_clause,[],[f2167,f1571,f19808]) ).

fof(f19808,plain,
    ( spl18_171
  <=> true = impl(false1,sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_171])]) ).

fof(f1571,plain,
    ( spl18_32
  <=> lazy_impl(true,sF12) = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).

fof(f2167,plain,
    ( lazy_impl(true,sF12) = sF13
    | true = impl(false1,sF12) ),
    inference(superposition,[],[f357,f266]) ).

fof(f357,plain,
    ! [X12,X13] :
      ( true = impl(false1,X12)
      | impl(X12,X13) = lazy_impl(true,X12) ),
    inference(resolution,[],[f231,f250]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( bool(X1)
      | impl(X1,X0) = lazy_impl(true,X1) ),
    inference(definition_unfolding,[],[f171,f149]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( impl(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( impl(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = impl(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1) ).

fof(f24925,plain,
    ( spl18_31
    | spl18_106 ),
    inference(avatar_split_clause,[],[f1931,f8597,f1565]) ).

fof(f1931,plain,
    ( and1(true,sK7) = sK7
    | sF12 = lazy_impl(true,sK7) ),
    inference(superposition,[],[f265,f352]) ).

fof(f352,plain,
    ! [X2,X3] :
      ( impl(X2,X3) = lazy_impl(true,X2)
      | and1(true,X2) = X2 ),
    inference(resolution,[],[f231,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ bool(X0)
      | and1(true,X0) = X0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ bool(X0)
      | and1(true,X0) = X0 ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( bool(X0)
     => and1(true,X0) = X0 ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( bool(X3)
     => and1(true,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_axiom4) ).

fof(f24917,plain,
    ( ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(avatar_contradiction_clause,[],[f24916]) ).

fof(f24916,plain,
    ( $false
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(subsumption_resolution,[],[f24915,f261]) ).

fof(f261,plain,
    forallprefers(false1,true),
    inference(equality_resolution,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( false1 != X0
      | forallprefers(X0,true) ),
    inference(equality_resolution,[],[f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( true != X1
      | false1 != X0
      | forallprefers(X0,X1) ),
    inference(definition_unfolding,[],[f207,f201]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( true != X1
      | false != X0
      | forallprefers(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( ~ d(X1)
          | ~ bool(X1)
          | ~ d(X0)
          | bool(X0) )
        & ( true != X1
          | false != X0 )
        & ( d(X0)
          | ~ d(X1) ) )
      | forallprefers(X0,X1) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X1,X0] :
      ( ( ( ~ d(X0)
          | ~ bool(X0)
          | ~ d(X1)
          | bool(X1) )
        & ( true != X0
          | false != X1 )
        & ( d(X1)
          | ~ d(X0) ) )
      | forallprefers(X1,X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( ( d(X1)
          & ~ bool(X1)
          & d(X0)
          & bool(X0) )
        | ( true = X0
          & false = X1 )
        | ( d(X0)
          & ~ d(X1) ) )
     => forallprefers(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f59]) ).

fof(f59,plain,
    ! [X1,X0] :
      ( ( ( d(X1)
          & ~ bool(X1)
          & d(X0)
          & bool(X0) )
        | ( true = X0
          & false = X1 )
        | ( d(X0)
          & ~ d(X1) ) )
    <=> forallprefers(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( forallprefers(X0,X1)
    <=> ( ( ~ bool(X0)
          & bool(X1)
          & d(X0)
          & d(X1) )
        | ( ~ d(X0)
          & d(X1) )
        | ( true = X1
          & false = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).

fof(f24915,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24914,f325]) ).

fof(f24914,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24913,f313]) ).

fof(f24913,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24912,f313]) ).

fof(f24912,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,impl(true,false1))),true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24834,f334]) ).

fof(f24834,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),impl(impl(false1,false1),false1))),true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(superposition,[],[f24720,f6234]) ).

fof(f6234,plain,
    true = prop(false1),
    inference(resolution,[],[f211,f258]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = prop(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ( true = prop(X0)
        | ~ bool(X0) )
      & ( bool(X0)
        | true != prop(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).

fof(f24720,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),true)
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24719,f324]) ).

fof(f24719,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(true,true))
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24718,f284]) ).

fof(f284,plain,
    true = prop(true),
    inference(resolution,[],[f211,f259]) ).

fof(f24718,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(true),true))
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24717,f312]) ).

fof(f24717,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(true),impl(true,true)))
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24716,f312]) ).

fof(f24716,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(true),impl(true,impl(true,true))))
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f24711,f333]) ).

fof(f333,plain,
    true = impl(false1,true),
    inference(resolution,[],[f250,f259]) ).

fof(f24711,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(true),impl(impl(false1,true),impl(impl(false1,true),true))))
    | ~ spl18_11
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(backward_demodulation,[],[f24691,f475]) ).

fof(f475,plain,
    ( true = sF9
    | ~ spl18_11 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl18_11
  <=> true = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

fof(f24691,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(impl(false1,sF9),impl(impl(false1,sF9),sF9))))
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f22873,f1689]) ).

fof(f22873,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(impl(false1,sF9),sF9))))
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f17772,f2299]) ).

fof(f2299,plain,
    ( false1 = sK7
    | ~ spl18_40 ),
    inference(avatar_component_clause,[],[f2297]) ).

fof(f17772,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(impl(sK7,sF9),sF9)))),
    inference(superposition,[],[f230,f262]) ).

fof(f230,plain,
    ! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(impl(X1,X3),impl(impl(X0,X3),X3))),lazy_impl(prop(sK4(X0,X1)),impl(impl(X1,sK4(X0,X1)),impl(impl(X0,sK4(X0,X1)),sK4(X0,X1))))),
    inference(definition_unfolding,[],[f168,f155,f155]) ).

fof(f168,plain,
    ! [X3,X0,X1] : ~ forallprefers(f3(X1,X0,X3),f3(X1,X0,sK4(X0,X1))),
    inference(cnf_transformation,[],[f127]) ).

fof(f24701,plain,
    ( spl18_34
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f24700]) ).

fof(f24700,plain,
    ( $false
    | spl18_34
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f24699,f24681]) ).

fof(f24681,plain,
    ( true != sF14
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24680,f324]) ).

fof(f24680,plain,
    ( sF14 != lazy_impl(true,true)
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f1582,f10907]) ).

fof(f24699,plain,
    ( true = sF14
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24698,f312]) ).

fof(f24698,plain,
    ( sF14 = impl(true,true)
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24697,f10907]) ).

fof(f24697,plain,
    ( sF14 = impl(sF11,true)
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f267,f24684]) ).

fof(f24684,plain,
    ( true = sF13
    | ~ spl18_40
    | ~ spl18_71
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f6364,f24364]) ).

fof(f24364,plain,
    ( true = sF12
    | ~ spl18_40
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f24363,f241]) ).

fof(f241,plain,
    true = not1(false1),
    inference(definition_unfolding,[],[f186,f201]) ).

fof(f186,plain,
    true = not1(false),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom2) ).

fof(f24363,plain,
    ( sF12 = not1(false1)
    | ~ spl18_40
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f9608,f2299]) ).

fof(f9608,plain,
    ( not1(sK7) = sF12
    | ~ spl18_113 ),
    inference(avatar_component_clause,[],[f9606]) ).

fof(f9606,plain,
    ( spl18_113
  <=> not1(sK7) = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_113])]) ).

fof(f6364,plain,
    ( sF12 = sF13
    | ~ spl18_71 ),
    inference(avatar_component_clause,[],[f6362]) ).

fof(f6362,plain,
    ( spl18_71
  <=> sF12 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_71])]) ).

fof(f24672,plain,
    ( ~ spl18_10
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f24671]) ).

fof(f24671,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f24663,f24624]) ).

fof(f24624,plain,
    ( false1 != sF15
    | ~ spl18_37
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90 ),
    inference(backward_demodulation,[],[f24586,f1689]) ).

fof(f24586,plain,
    ( sF15 != sK8
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f22497,f24515]) ).

fof(f24515,plain,
    ( sK8 = sF17
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(forward_demodulation,[],[f2515,f2488]) ).

fof(f2488,plain,
    ( sK8 = lazy_impl(true,sK8)
    | ~ spl18_50 ),
    inference(avatar_component_clause,[],[f2486]) ).

fof(f2486,plain,
    ( spl18_50
  <=> sK8 = lazy_impl(true,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).

fof(f2515,plain,
    ( lazy_impl(true,sK8) = sF17
    | ~ spl18_53 ),
    inference(avatar_component_clause,[],[f2513]) ).

fof(f24663,plain,
    ( false1 = sF15
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_93
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f7120,f24662]) ).

fof(f24662,plain,
    ( false1 = sF14
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24655,f313]) ).

fof(f24655,plain,
    ( sF14 = impl(true,false1)
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f24387,f10907]) ).

fof(f24387,plain,
    ( sF14 = impl(sF11,false1)
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113 ),
    inference(backward_demodulation,[],[f267,f24386]) ).

fof(f24386,plain,
    ( false1 = sF13
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f24377,f313]) ).

fof(f24377,plain,
    ( impl(true,false1) = sF13
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113 ),
    inference(backward_demodulation,[],[f24321,f24364]) ).

fof(f24321,plain,
    ( impl(sF12,false1) = sF13
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f266,f471]) ).

fof(f24631,plain,
    ( spl18_123
    | ~ spl18_10
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f24630,f1687,f469,f10905]) ).

fof(f24630,plain,
    ( true = sF11
    | ~ spl18_10
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f24627,f334]) ).

fof(f24627,plain,
    ( impl(false1,false1) = sF11
    | ~ spl18_10
    | ~ spl18_37 ),
    inference(backward_demodulation,[],[f24604,f1689]) ).

fof(f24604,plain,
    ( impl(sK8,false1) = sF11
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f264,f471]) ).

fof(f24610,plain,
    ( ~ spl18_95
    | spl18_92
    | ~ spl18_93 ),
    inference(avatar_split_clause,[],[f24609,f7118,f7106,f7128]) ).

fof(f7128,plain,
    ( spl18_95
  <=> err = lazy_impl(true,sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).

fof(f7106,plain,
    ( spl18_92
  <=> err = lazy_impl(true,sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).

fof(f24609,plain,
    ( err != lazy_impl(true,sF14)
    | spl18_92
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f7107,f7120]) ).

fof(f7107,plain,
    ( err != lazy_impl(true,sF15)
    | spl18_92 ),
    inference(avatar_component_clause,[],[f7106]) ).

fof(f24597,plain,
    ( spl18_93
    | ~ spl18_1
    | ~ spl18_96 ),
    inference(avatar_split_clause,[],[f24596,f7133,f275,f7118]) ).

fof(f275,plain,
    ( spl18_1
  <=> true = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f7133,plain,
    ( spl18_96
  <=> sF14 = lazy_impl(true,sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).

fof(f24596,plain,
    ( sF14 = sF15
    | ~ spl18_1
    | ~ spl18_96 ),
    inference(backward_demodulation,[],[f24594,f7135]) ).

fof(f7135,plain,
    ( sF14 = lazy_impl(true,sF14)
    | ~ spl18_96 ),
    inference(avatar_component_clause,[],[f7133]) ).

fof(f24594,plain,
    ( sF15 = lazy_impl(true,sF14)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f268,f276]) ).

fof(f276,plain,
    ( true = sF10
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f24556,plain,
    ( ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50
    | spl18_51
    | ~ spl18_95 ),
    inference(avatar_contradiction_clause,[],[f24555]) ).

fof(f24555,plain,
    ( $false
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50
    | spl18_51
    | ~ spl18_95 ),
    inference(subsumption_resolution,[],[f24554,f2494]) ).

fof(f2494,plain,
    ( err != lazy_impl(true,sK8)
    | spl18_51 ),
    inference(avatar_component_clause,[],[f2493]) ).

fof(f2493,plain,
    ( spl18_51
  <=> err = lazy_impl(true,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).

fof(f24554,plain,
    ( err = lazy_impl(true,sK8)
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50
    | ~ spl18_95 ),
    inference(forward_demodulation,[],[f7130,f24524]) ).

fof(f24524,plain,
    ( sF14 = sK8
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(forward_demodulation,[],[f24523,f2488]) ).

fof(f24523,plain,
    ( sF14 = lazy_impl(true,sK8)
    | ~ spl18_34
    | ~ spl18_47 ),
    inference(forward_demodulation,[],[f1583,f2466]) ).

fof(f2466,plain,
    ( sK8 = sF11
    | ~ spl18_47 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2464,plain,
    ( spl18_47
  <=> sK8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).

fof(f7130,plain,
    ( err = lazy_impl(true,sF14)
    | ~ spl18_95 ),
    inference(avatar_component_clause,[],[f7128]) ).

fof(f24499,plain,
    ( ~ spl18_40
    | spl18_77
    | ~ spl18_113 ),
    inference(avatar_contradiction_clause,[],[f24498]) ).

fof(f24498,plain,
    ( $false
    | ~ spl18_40
    | spl18_77
    | ~ spl18_113 ),
    inference(subsumption_resolution,[],[f24497,f324]) ).

fof(f24497,plain,
    ( true != lazy_impl(true,true)
    | ~ spl18_40
    | spl18_77
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f6391,f24364]) ).

fof(f6391,plain,
    ( lazy_impl(true,sF12) != sF12
    | spl18_77 ),
    inference(avatar_component_clause,[],[f6390]) ).

fof(f6390,plain,
    ( spl18_77
  <=> lazy_impl(true,sF12) = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).

fof(f24475,plain,
    ( ~ spl18_10
    | spl18_20
    | ~ spl18_23
    | ~ spl18_40
    | ~ spl18_95
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f24474]) ).

fof(f24474,plain,
    ( $false
    | ~ spl18_10
    | spl18_20
    | ~ spl18_23
    | ~ spl18_40
    | ~ spl18_95
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f24473,f1058]) ).

fof(f1058,plain,
    ( err != lazy_impl(true,false1)
    | spl18_20
    | ~ spl18_23 ),
    inference(forward_demodulation,[],[f1051,f325]) ).

fof(f1051,plain,
    ( err != lazy_impl(true,lazy_impl(true,false1))
    | spl18_20
    | ~ spl18_23 ),
    inference(forward_demodulation,[],[f784,f936]) ).

fof(f936,plain,
    ( false1 = sK5
    | ~ spl18_23 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl18_23
  <=> false1 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).

fof(f784,plain,
    ( err != lazy_impl(true,lazy_impl(true,sK5))
    | spl18_20 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl18_20
  <=> err = lazy_impl(true,lazy_impl(true,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).

fof(f24473,plain,
    ( err = lazy_impl(true,false1)
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_95
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f7130,f24413]) ).

fof(f24413,plain,
    ( false1 = sF14
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f24409,f313]) ).

fof(f24409,plain,
    ( sF14 = impl(true,false1)
    | ~ spl18_10
    | ~ spl18_40
    | ~ spl18_113
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f24387,f10907]) ).

fof(f24382,plain,
    ( ~ spl18_40
    | ~ spl18_113
    | spl18_171 ),
    inference(avatar_contradiction_clause,[],[f24381]) ).

fof(f24381,plain,
    ( $false
    | ~ spl18_40
    | ~ spl18_113
    | spl18_171 ),
    inference(subsumption_resolution,[],[f24372,f333]) ).

fof(f24372,plain,
    ( true != impl(false1,true)
    | ~ spl18_40
    | ~ spl18_113
    | spl18_171 ),
    inference(backward_demodulation,[],[f19809,f24364]) ).

fof(f19809,plain,
    ( true != impl(false1,sF12)
    | spl18_171 ),
    inference(avatar_component_clause,[],[f19808]) ).

fof(f24310,plain,
    ( spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(avatar_contradiction_clause,[],[f24309]) ).

fof(f24309,plain,
    ( $false
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(subsumption_resolution,[],[f24308,f261]) ).

fof(f24308,plain,
    ( ~ forallprefers(false1,true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f24307,f325]) ).

fof(f24307,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f24306,f6234]) ).

fof(f24306,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),false1),true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f24305,f313]) ).

fof(f24305,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,false1)),true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f24233,f313]) ).

fof(f24233,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(superposition,[],[f23996,f334]) ).

fof(f23996,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),true)
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f23995,f249]) ).

fof(f249,plain,
    ! [X0] : true = lazy_impl(false1,X0),
    inference(definition_unfolding,[],[f199,f201]) ).

fof(f199,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).

fof(f23995,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(false1,impl(sF12,sF12)))
    | spl18_2
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f23994,f22333]) ).

fof(f22333,plain,
    ( false1 = prop(sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f223]) ).

fof(f223,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false1 ),
    inference(definition_unfolding,[],[f151,f201]) ).

fof(f151,plain,
    ! [X0] :
      ( false = prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f280,plain,
    ( ~ bool(sF9)
    | spl18_2 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl18_2
  <=> bool(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f23994,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(sF12,sF12)))
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f22800,f23981]) ).

fof(f23981,plain,
    ( sF12 = impl(sF12,sF9)
    | ~ spl18_71 ),
    inference(backward_demodulation,[],[f266,f6364]) ).

fof(f22800,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(sF12,impl(sF12,sF9))))
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(backward_demodulation,[],[f22798,f22799]) ).

fof(f22799,plain,
    ( impl(false1,sF9) = sF12
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f265,f2299]) ).

fof(f22798,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(impl(false1,sF9),impl(impl(false1,sF9),sF9))))
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f22797,f1689]) ).

fof(f22797,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(impl(false1,sF9),sF9))))
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f18986,f2299]) ).

fof(f18986,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(impl(sK7,sF9),sF9)))),
    inference(superposition,[],[f230,f262]) ).

fof(f24110,plain,
    ( spl18_6
    | spl18_2
    | ~ spl18_8 ),
    inference(avatar_split_clause,[],[f24109,f443,f279,f434]) ).

fof(f434,plain,
    ( spl18_6
  <=> err = lazy_impl(true,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f443,plain,
    ( spl18_8
  <=> err = not1(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

fof(f24109,plain,
    ( err = lazy_impl(true,sF9)
    | spl18_2
    | ~ spl18_8 ),
    inference(forward_demodulation,[],[f22915,f445]) ).

fof(f445,plain,
    ( err = not1(sF9)
    | ~ spl18_8 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f22915,plain,
    ( lazy_impl(true,sF9) = not1(sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( bool(X0)
      | not1(X0) = lazy_impl(true,X0) ),
    inference(definition_unfolding,[],[f172,f149]) ).

fof(f172,plain,
    ! [X0] :
      ( bool(X0)
      | phi(X0) = not1(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( bool(X0)
      | phi(X0) = not1(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ bool(X0)
     => phi(X0) = not1(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1) ).

fof(f23980,plain,
    ( spl18_71
    | ~ spl18_32
    | ~ spl18_77 ),
    inference(avatar_split_clause,[],[f23979,f6390,f1571,f6362]) ).

fof(f23979,plain,
    ( sF12 = sF13
    | ~ spl18_32
    | ~ spl18_77 ),
    inference(forward_demodulation,[],[f1573,f6392]) ).

fof(f6392,plain,
    ( lazy_impl(true,sF12) = sF12
    | ~ spl18_77 ),
    inference(avatar_component_clause,[],[f6390]) ).

fof(f1573,plain,
    ( lazy_impl(true,sF12) = sF13
    | ~ spl18_32 ),
    inference(avatar_component_clause,[],[f1571]) ).

fof(f23951,plain,
    ( spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(avatar_contradiction_clause,[],[f23950]) ).

fof(f23950,plain,
    ( $false
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(subsumption_resolution,[],[f23949,f261]) ).

fof(f23949,plain,
    ( ~ forallprefers(false1,true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f23948,f325]) ).

fof(f23948,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f23947,f6234]) ).

fof(f23947,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),false1),true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f23946,f313]) ).

fof(f23946,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,false1)),true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f23907,f313]) ).

fof(f23907,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(superposition,[],[f22816,f334]) ).

fof(f22816,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),true)
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f22815,f249]) ).

fof(f22815,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(false1,impl(sF9,impl(sF9,sF9))))
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(backward_demodulation,[],[f22802,f22333]) ).

fof(f22802,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(false1,X0),X0))),lazy_impl(prop(sF9),impl(sF9,impl(sF9,sF9))))
    | spl18_2
    | ~ spl18_9
    | ~ spl18_37
    | ~ spl18_40 ),
    inference(backward_demodulation,[],[f22800,f22801]) ).

fof(f22801,plain,
    ( sF12 = sF9
    | spl18_2
    | ~ spl18_9
    | ~ spl18_40 ),
    inference(backward_demodulation,[],[f22799,f22393]) ).

fof(f22393,plain,
    ( impl(false1,sF9) = sF9
    | spl18_2
    | ~ spl18_9 ),
    inference(backward_demodulation,[],[f22341,f450]) ).

fof(f450,plain,
    ( lazy_impl(true,sF9) = sF9
    | ~ spl18_9 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl18_9
  <=> lazy_impl(true,sF9) = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).

fof(f22341,plain,
    ( lazy_impl(true,sF9) = impl(false1,sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f511]) ).

fof(f511,plain,
    ! [X20] :
      ( bool(X20)
      | impl(false1,X20) = lazy_impl(true,X20) ),
    inference(resolution,[],[f229,f258]) ).

fof(f22636,plain,
    ( spl18_2
    | spl18_25
    | ~ spl18_27
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_81
    | ~ spl18_84 ),
    inference(avatar_contradiction_clause,[],[f22635]) ).

fof(f22635,plain,
    ( $false
    | spl18_2
    | spl18_25
    | ~ spl18_27
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_81
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f22634,f6644]) ).

fof(f6644,plain,
    ( forallprefers(err,true)
    | ~ spl18_81 ),
    inference(avatar_component_clause,[],[f6643]) ).

fof(f6643,plain,
    ( spl18_81
  <=> forallprefers(err,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).

fof(f22634,plain,
    ( ~ forallprefers(err,true)
    | spl18_2
    | spl18_25
    | ~ spl18_27
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22633,f323]) ).

fof(f323,plain,
    err = lazy_impl(true,err),
    inference(resolution,[],[f227,f189]) ).

fof(f189,plain,
    d(err),
    inference(cnf_transformation,[],[f3]) ).

fof(f22633,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | spl18_2
    | spl18_25
    | ~ spl18_27
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22632,f284]) ).

fof(f22632,plain,
    ( ~ forallprefers(lazy_impl(prop(true),err),true)
    | spl18_2
    | spl18_25
    | ~ spl18_27
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22588,f1381]) ).

fof(f1381,plain,
    ( err = impl(true,err)
    | ~ spl18_27 ),
    inference(avatar_component_clause,[],[f1379]) ).

fof(f1379,plain,
    ( spl18_27
  <=> err = impl(true,err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).

fof(f22588,plain,
    ( ~ forallprefers(lazy_impl(prop(true),impl(true,err)),true)
    | spl18_2
    | spl18_25
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(superposition,[],[f22505,f333]) ).

fof(f22505,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),err)),true)
    | spl18_2
    | spl18_25
    | ~ spl18_37
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f22489,f1689]) ).

fof(f22489,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),err)),true)
    | spl18_2
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22488,f1547]) ).

fof(f1547,plain,
    ( ! [X12] : err = impl(err,X12)
    | spl18_25 ),
    inference(subsumption_resolution,[],[f1482,f1314]) ).

fof(f1314,plain,
    ( true != prop(err)
    | spl18_25 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1313,plain,
    ( spl18_25
  <=> true = prop(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).

fof(f1482,plain,
    ! [X12] :
      ( err = impl(err,X12)
      | true = prop(err) ),
    inference(superposition,[],[f354,f323]) ).

fof(f354,plain,
    ! [X6,X7] :
      ( impl(X6,X7) = lazy_impl(true,X6)
      | true = prop(X6) ),
    inference(resolution,[],[f231,f211]) ).

fof(f22488,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(err,X0))),true)
    | spl18_2
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22487,f22209]) ).

fof(f22209,plain,
    ( ! [X0] : err = impl(sK7,X0)
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22174,f6373]) ).

fof(f22174,plain,
    ( ! [X0] : lazy_impl(true,sK7) = impl(sK7,X0)
    | ~ spl18_84 ),
    inference(resolution,[],[f22113,f231]) ).

fof(f22113,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f22105]) ).

fof(f22105,plain,
    ( false1 != false1
    | ~ bool(sK7)
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f22487,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),true)
    | spl18_2
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22486,f249]) ).

fof(f22486,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(false1,impl(impl(sK8,sF9),err)))
    | spl18_2
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22274,f22333]) ).

fof(f22274,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),err)))
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22273,f1547]) ).

fof(f22273,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(err,sF9))))
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f18986,f22209]) ).

fof(f22483,plain,
    ( ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | spl18_79
    | ~ spl18_81
    | ~ spl18_84 ),
    inference(avatar_contradiction_clause,[],[f22482]) ).

fof(f22482,plain,
    ( $false
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | spl18_79
    | ~ spl18_81
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f22481,f6644]) ).

fof(f22481,plain,
    ( ~ forallprefers(err,true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | spl18_79
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22480,f323]) ).

fof(f22480,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | spl18_79
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22479,f7352]) ).

fof(f7352,plain,
    ( err = impl(false1,err)
    | spl18_79 ),
    inference(forward_demodulation,[],[f7350,f323]) ).

fof(f7350,plain,
    ( lazy_impl(true,err) = impl(false1,err)
    | spl18_79 ),
    inference(resolution,[],[f511,f6635]) ).

fof(f6635,plain,
    ( ~ bool(err)
    | spl18_79 ),
    inference(avatar_component_clause,[],[f6634]) ).

fof(f6634,plain,
    ( spl18_79
  <=> bool(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).

fof(f22479,plain,
    ( ~ forallprefers(lazy_impl(true,impl(false1,err)),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22428,f313]) ).

fof(f22428,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(true,false1),err)),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(superposition,[],[f22307,f6234]) ).

fof(f22307,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),err)),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22304,f249]) ).

fof(f22304,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),err)),lazy_impl(false1,impl(impl(true,sF9),err)))
    | ~ spl18_3
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f22287,f291]) ).

fof(f291,plain,
    ( false1 = sF10
    | ~ spl18_3 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl18_3
  <=> false1 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f22287,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),err)),lazy_impl(sF10,impl(impl(true,sF9),err)))
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f22267,f263]) ).

fof(f22267,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),err)),lazy_impl(prop(sF9),impl(impl(true,sF9),err)))
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22266,f1547]) ).

fof(f22266,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(err,X0))),lazy_impl(prop(sF9),impl(impl(true,sF9),err)))
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22265,f22209]) ).

fof(f22265,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(true,sF9),err)))
    | spl18_25
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22264,f1685]) ).

fof(f1685,plain,
    ( true = sK8
    | ~ spl18_36 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f1683,plain,
    ( spl18_36
  <=> true = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).

fof(f22264,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),err)))
    | spl18_25
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22263,f1547]) ).

fof(f22263,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(err,sF9))))
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f17772,f22209]) ).

fof(f22247,plain,
    ( ~ spl18_123
    | spl18_29
    | ~ spl18_36 ),
    inference(avatar_split_clause,[],[f22246,f1683,f1543,f10905]) ).

fof(f1543,plain,
    ( spl18_29
  <=> lazy_impl(true,sK8) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).

fof(f22246,plain,
    ( true != sF11
    | spl18_29
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f22245,f324]) ).

fof(f22245,plain,
    ( lazy_impl(true,true) != sF11
    | spl18_29
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f1544,f1685]) ).

fof(f1544,plain,
    ( lazy_impl(true,sK8) != sF11
    | spl18_29 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f22242,plain,
    ( ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84
    | ~ spl18_89 ),
    inference(avatar_contradiction_clause,[],[f22241]) ).

fof(f22241,plain,
    ( $false
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84
    | ~ spl18_89 ),
    inference(subsumption_resolution,[],[f22240,f22228]) ).

fof(f22228,plain,
    ( err != sF17
    | ~ spl18_89 ),
    inference(forward_demodulation,[],[f271,f7093]) ).

fof(f7093,plain,
    ( err = sF16
    | ~ spl18_89 ),
    inference(avatar_component_clause,[],[f7091]) ).

fof(f7091,plain,
    ( spl18_89
  <=> err = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).

fof(f22240,plain,
    ( err = sF17
    | ~ spl18_36
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f22234,f22205]) ).

fof(f22205,plain,
    ( err = or1(true,sK7)
    | ~ spl18_73
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f22183,f6373]) ).

fof(f22183,plain,
    ( or1(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f22113,f528]) ).

fof(f528,plain,
    ! [X19] :
      ( bool(X19)
      | lazy_impl(true,X19) = or1(true,X19) ),
    inference(resolution,[],[f251,f259]) ).

fof(f22234,plain,
    ( or1(true,sK7) = sF17
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f270,f1685]) ).

fof(f22239,plain,
    ( ~ spl18_83
    | ~ spl18_36
    | spl18_53 ),
    inference(avatar_split_clause,[],[f22238,f2513,f1683,f6962]) ).

fof(f22238,plain,
    ( true != sF17
    | ~ spl18_36
    | spl18_53 ),
    inference(forward_demodulation,[],[f22237,f324]) ).

fof(f22237,plain,
    ( sF17 != lazy_impl(true,true)
    | ~ spl18_36
    | spl18_53 ),
    inference(forward_demodulation,[],[f2514,f1685]) ).

fof(f20909,plain,
    ( ~ spl18_27
    | ~ spl18_75
    | spl18_122
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f20908]) ).

fof(f20908,plain,
    ( $false
    | ~ spl18_27
    | ~ spl18_75
    | spl18_122
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f20907,f10663]) ).

fof(f10663,plain,
    ( err != sF14
    | spl18_122 ),
    inference(avatar_component_clause,[],[f10662]) ).

fof(f20907,plain,
    ( err = sF14
    | ~ spl18_27
    | ~ spl18_75
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f20906,f1381]) ).

fof(f20906,plain,
    ( sF14 = impl(true,err)
    | ~ spl18_75
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f20905,f10907]) ).

fof(f20905,plain,
    ( sF14 = impl(sF11,err)
    | ~ spl18_75 ),
    inference(forward_demodulation,[],[f267,f6382]) ).

fof(f6382,plain,
    ( err = sF13
    | ~ spl18_75 ),
    inference(avatar_component_clause,[],[f6380]) ).

fof(f20818,plain,
    ( ~ spl18_174
    | ~ spl18_76
    | spl18_171 ),
    inference(avatar_split_clause,[],[f20817,f19808,f6385,f20764]) ).

fof(f20764,plain,
    ( spl18_174
  <=> true = impl(false1,err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_174])]) ).

fof(f20817,plain,
    ( true != impl(false1,err)
    | ~ spl18_76
    | spl18_171 ),
    inference(forward_demodulation,[],[f19809,f6387]) ).

fof(f20807,plain,
    ( ~ spl18_76
    | spl18_77 ),
    inference(avatar_contradiction_clause,[],[f20806]) ).

fof(f20806,plain,
    ( $false
    | ~ spl18_76
    | spl18_77 ),
    inference(subsumption_resolution,[],[f20805,f323]) ).

fof(f20805,plain,
    ( err != lazy_impl(true,err)
    | ~ spl18_76
    | spl18_77 ),
    inference(forward_demodulation,[],[f6391,f6387]) ).

fof(f20783,plain,
    ( spl18_122
    | ~ spl18_75
    | spl18_79
    | ~ spl18_159 ),
    inference(avatar_split_clause,[],[f20782,f11697,f6634,f6380,f10662]) ).

fof(f11697,plain,
    ( spl18_159
  <=> false1 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).

fof(f20782,plain,
    ( err = sF14
    | ~ spl18_75
    | spl18_79
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20781,f7352]) ).

fof(f20781,plain,
    ( sF14 = impl(false1,err)
    | ~ spl18_75
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20695,f6382]) ).

fof(f20695,plain,
    ( sF14 = impl(false1,sF13)
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f267,f11699]) ).

fof(f11699,plain,
    ( false1 = sF11
    | ~ spl18_159 ),
    inference(avatar_component_clause,[],[f11697]) ).

fof(f20767,plain,
    ( spl18_174
    | spl18_75
    | ~ spl18_76 ),
    inference(avatar_split_clause,[],[f20762,f6385,f6380,f20764]) ).

fof(f20762,plain,
    ( err = sF13
    | true = impl(false1,err)
    | ~ spl18_76 ),
    inference(forward_demodulation,[],[f20761,f323]) ).

fof(f20761,plain,
    ( true = impl(false1,err)
    | lazy_impl(true,err) = sF13
    | ~ spl18_76 ),
    inference(forward_demodulation,[],[f20760,f6387]) ).

fof(f20760,plain,
    ( true = impl(false1,sF12)
    | lazy_impl(true,err) = sF13
    | ~ spl18_76 ),
    inference(forward_demodulation,[],[f2237,f6387]) ).

fof(f2237,plain,
    ( lazy_impl(true,sF12) = sF13
    | true = impl(false1,sF12) ),
    inference(superposition,[],[f266,f357]) ).

fof(f20748,plain,
    ( ~ spl18_95
    | ~ spl18_108
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(avatar_contradiction_clause,[],[f20747]) ).

fof(f20747,plain,
    ( $false
    | ~ spl18_95
    | ~ spl18_108
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(subsumption_resolution,[],[f20746,f197]) ).

fof(f197,plain,
    true != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( false != true
    & true != err
    & false != err ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err) ).

fof(f20746,plain,
    ( true = err
    | ~ spl18_95
    | ~ spl18_108
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20744,f324]) ).

fof(f20744,plain,
    ( err = lazy_impl(true,true)
    | ~ spl18_95
    | ~ spl18_108
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(backward_demodulation,[],[f7130,f20743]) ).

fof(f20743,plain,
    ( true = sF14
    | ~ spl18_108
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(backward_demodulation,[],[f20710,f8618]) ).

fof(f8618,plain,
    ( true = impl(false1,sK7)
    | ~ spl18_108 ),
    inference(avatar_component_clause,[],[f8616]) ).

fof(f8616,plain,
    ( spl18_108
  <=> true = impl(false1,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_108])]) ).

fof(f20710,plain,
    ( sF14 = impl(false1,sK7)
    | ~ spl18_115
    | ~ spl18_159 ),
    inference(backward_demodulation,[],[f20695,f9778]) ).

fof(f9778,plain,
    ( sK7 = sF13
    | ~ spl18_115 ),
    inference(avatar_component_clause,[],[f9776]) ).

fof(f20677,plain,
    ( ~ spl18_76
    | spl18_79
    | ~ spl18_171 ),
    inference(avatar_contradiction_clause,[],[f20676]) ).

fof(f20676,plain,
    ( $false
    | ~ spl18_76
    | spl18_79
    | ~ spl18_171 ),
    inference(subsumption_resolution,[],[f20675,f197]) ).

fof(f20675,plain,
    ( true = err
    | ~ spl18_76
    | spl18_79
    | ~ spl18_171 ),
    inference(backward_demodulation,[],[f7352,f20669]) ).

fof(f20669,plain,
    ( true = impl(false1,err)
    | ~ spl18_76
    | ~ spl18_171 ),
    inference(backward_demodulation,[],[f19810,f6387]) ).

fof(f19810,plain,
    ( true = impl(false1,sF12)
    | ~ spl18_171 ),
    inference(avatar_component_clause,[],[f19808]) ).

fof(f20633,plain,
    ( ~ spl18_10
    | ~ spl18_40
    | spl18_113 ),
    inference(avatar_contradiction_clause,[],[f20632]) ).

fof(f20632,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_40
    | spl18_113 ),
    inference(subsumption_resolution,[],[f20631,f20621]) ).

fof(f20621,plain,
    ( true != sF12
    | ~ spl18_40
    | spl18_113 ),
    inference(forward_demodulation,[],[f20620,f241]) ).

fof(f20620,plain,
    ( sF12 != not1(false1)
    | ~ spl18_40
    | spl18_113 ),
    inference(forward_demodulation,[],[f9607,f2299]) ).

fof(f9607,plain,
    ( not1(sK7) != sF12
    | spl18_113 ),
    inference(avatar_component_clause,[],[f9606]) ).

fof(f20631,plain,
    ( true = sF12
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20630,f334]) ).

fof(f20630,plain,
    ( impl(false1,false1) = sF12
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20093,f2299]) ).

fof(f20093,plain,
    ( impl(sK7,false1) = sF12
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f265,f471]) ).

fof(f20444,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_39
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_159 ),
    inference(avatar_contradiction_clause,[],[f20443]) ).

fof(f20443,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_39
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_159 ),
    inference(subsumption_resolution,[],[f20442,f19550]) ).

fof(f19550,plain,
    ( true != sF16
    | ~ spl18_36
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(forward_demodulation,[],[f18917,f1685]) ).

fof(f18917,plain,
    ( sK8 != sF16
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(forward_demodulation,[],[f271,f18834]) ).

fof(f18834,plain,
    ( sK8 = sF17
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(backward_demodulation,[],[f2515,f2488]) ).

fof(f20442,plain,
    ( true = sF16
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f19553,f20406]) ).

fof(f20406,plain,
    ( true = sF14
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20405,f333]) ).

fof(f20405,plain,
    ( sF14 = impl(false1,true)
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20404,f11699]) ).

fof(f20404,plain,
    ( sF14 = impl(sF11,true)
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f267,f20396]) ).

fof(f20396,plain,
    ( true = sF13
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f20395,f334]) ).

fof(f20395,plain,
    ( impl(false1,false1) = sF13
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f20111,f20312]) ).

fof(f20312,plain,
    ( false1 = sF12
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f20303,f313]) ).

fof(f20303,plain,
    ( impl(true,false1) = sF12
    | ~ spl18_10
    | ~ spl18_39 ),
    inference(backward_demodulation,[],[f20093,f2295]) ).

fof(f20111,plain,
    ( impl(sF12,false1) = sF13
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f266,f471]) ).

fof(f19553,plain,
    ( sF14 = sF16
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7097,f7120]) ).

fof(f20438,plain,
    ( ~ spl18_10
    | ~ spl18_39
    | spl18_115 ),
    inference(avatar_contradiction_clause,[],[f20437]) ).

fof(f20437,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_39
    | spl18_115 ),
    inference(subsumption_resolution,[],[f20436,f2295]) ).

fof(f20436,plain,
    ( true != sK7
    | ~ spl18_10
    | ~ spl18_39
    | spl18_115 ),
    inference(forward_demodulation,[],[f9777,f20396]) ).

fof(f9777,plain,
    ( sK7 != sF13
    | spl18_115 ),
    inference(avatar_component_clause,[],[f9776]) ).

fof(f20240,plain,
    ( ~ spl18_36
    | ~ spl18_40
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_116
    | ~ spl18_159 ),
    inference(avatar_contradiction_clause,[],[f20239]) ).

fof(f20239,plain,
    ( $false
    | ~ spl18_36
    | ~ spl18_40
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_116
    | ~ spl18_159 ),
    inference(subsumption_resolution,[],[f20229,f19550]) ).

fof(f20229,plain,
    ( true = sF16
    | ~ spl18_40
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_116
    | ~ spl18_159 ),
    inference(backward_demodulation,[],[f19553,f20224]) ).

fof(f20224,plain,
    ( true = sF14
    | ~ spl18_40
    | ~ spl18_116
    | ~ spl18_159 ),
    inference(forward_demodulation,[],[f20218,f334]) ).

fof(f20218,plain,
    ( sF14 = impl(false1,false1)
    | ~ spl18_40
    | ~ spl18_116
    | ~ spl18_159 ),
    inference(backward_demodulation,[],[f20188,f11699]) ).

fof(f20188,plain,
    ( sF14 = impl(sF11,false1)
    | ~ spl18_40
    | ~ spl18_116 ),
    inference(backward_demodulation,[],[f267,f20187]) ).

fof(f20187,plain,
    ( false1 = sF13
    | ~ spl18_40
    | ~ spl18_116 ),
    inference(forward_demodulation,[],[f20186,f325]) ).

fof(f20186,plain,
    ( lazy_impl(true,false1) = sF13
    | ~ spl18_40
    | ~ spl18_116 ),
    inference(forward_demodulation,[],[f9877,f2299]) ).

fof(f20204,plain,
    ( spl18_159
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(avatar_split_clause,[],[f20181,f1683,f469,f11697]) ).

fof(f20181,plain,
    ( false1 = sF11
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f20180,f313]) ).

fof(f20180,plain,
    ( impl(true,false1) = sF11
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f20179,f1685]) ).

fof(f20179,plain,
    ( impl(sK8,false1) = sF11
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f264,f471]) ).

fof(f20178,plain,
    ( ~ spl18_10
    | ~ spl18_40
    | spl18_116 ),
    inference(avatar_contradiction_clause,[],[f20177]) ).

fof(f20177,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_40
    | spl18_116 ),
    inference(subsumption_resolution,[],[f20176,f20059]) ).

fof(f20059,plain,
    ( false1 != sF13
    | ~ spl18_40
    | spl18_116 ),
    inference(forward_demodulation,[],[f20058,f325]) ).

fof(f20058,plain,
    ( lazy_impl(true,false1) != sF13
    | ~ spl18_40
    | spl18_116 ),
    inference(forward_demodulation,[],[f9876,f2299]) ).

fof(f9876,plain,
    ( lazy_impl(true,sK7) != sF13
    | spl18_116 ),
    inference(avatar_component_clause,[],[f9875]) ).

fof(f20176,plain,
    ( false1 = sF13
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20112,f313]) ).

fof(f20112,plain,
    ( impl(true,false1) = sF13
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20111,f20095]) ).

fof(f20095,plain,
    ( true = sF12
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20094,f334]) ).

fof(f20094,plain,
    ( impl(false1,false1) = sF12
    | ~ spl18_10
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20093,f2299]) ).

fof(f20051,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f20050]) ).

fof(f20050,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f20049,f247]) ).

fof(f247,plain,
    true != false1,
    inference(definition_unfolding,[],[f198,f201]) ).

fof(f198,plain,
    false != true,
    inference(cnf_transformation,[],[f2]) ).

fof(f20049,plain,
    ( true = false1
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f313,f20048]) ).

fof(f20048,plain,
    ( true = impl(true,false1)
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f20047,f1685]) ).

fof(f20047,plain,
    ( true = impl(sK8,false1)
    | ~ spl18_10
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f20046,f471]) ).

fof(f20046,plain,
    ( true = impl(sK8,sF9)
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f264,f10907]) ).

fof(f20031,plain,
    ( ~ spl18_36
    | spl18_47
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f20030]) ).

fof(f20030,plain,
    ( $false
    | ~ spl18_36
    | spl18_47
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f20029,f1685]) ).

fof(f20029,plain,
    ( true != sK8
    | spl18_47
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f2465,f10907]) ).

fof(f2465,plain,
    ( sK8 != sF11
    | spl18_47 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f20020,plain,
    ( ~ spl18_11
    | spl18_32
    | ~ spl18_40 ),
    inference(avatar_contradiction_clause,[],[f20019]) ).

fof(f20019,plain,
    ( $false
    | ~ spl18_11
    | spl18_32
    | ~ spl18_40 ),
    inference(subsumption_resolution,[],[f20018,f324]) ).

fof(f20018,plain,
    ( true != lazy_impl(true,true)
    | ~ spl18_11
    | spl18_32
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f20017,f19923]) ).

fof(f19923,plain,
    ( true = sF12
    | ~ spl18_11
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f19922,f333]) ).

fof(f19922,plain,
    ( impl(false1,true) = sF12
    | ~ spl18_11
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f19742,f2299]) ).

fof(f19742,plain,
    ( sF12 = impl(sK7,true)
    | ~ spl18_11 ),
    inference(forward_demodulation,[],[f265,f475]) ).

fof(f20017,plain,
    ( true != lazy_impl(true,sF12)
    | ~ spl18_11
    | spl18_32
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f1572,f19985]) ).

fof(f19985,plain,
    ( true = sF13
    | ~ spl18_11
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f19984,f312]) ).

fof(f19984,plain,
    ( impl(true,true) = sF13
    | ~ spl18_11
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f19983,f19923]) ).

fof(f19983,plain,
    ( impl(sF12,true) = sF13
    | ~ spl18_11 ),
    inference(forward_demodulation,[],[f266,f475]) ).

fof(f1572,plain,
    ( lazy_impl(true,sF12) != sF13
    | spl18_32 ),
    inference(avatar_component_clause,[],[f1571]) ).

fof(f20000,plain,
    ( ~ spl18_11
    | ~ spl18_40
    | spl18_71 ),
    inference(avatar_contradiction_clause,[],[f19999]) ).

fof(f19999,plain,
    ( $false
    | ~ spl18_11
    | ~ spl18_40
    | spl18_71 ),
    inference(subsumption_resolution,[],[f19998,f19923]) ).

fof(f19998,plain,
    ( true != sF12
    | ~ spl18_11
    | ~ spl18_40
    | spl18_71 ),
    inference(forward_demodulation,[],[f6363,f19985]) ).

fof(f6363,plain,
    ( sF12 != sF13
    | spl18_71 ),
    inference(avatar_component_clause,[],[f6362]) ).

fof(f19925,plain,
    ( ~ spl18_11
    | ~ spl18_40
    | spl18_113 ),
    inference(avatar_contradiction_clause,[],[f19924]) ).

fof(f19924,plain,
    ( $false
    | ~ spl18_11
    | ~ spl18_40
    | spl18_113 ),
    inference(subsumption_resolution,[],[f19923,f19888]) ).

fof(f19888,plain,
    ( true != sF12
    | ~ spl18_40
    | spl18_113 ),
    inference(forward_demodulation,[],[f19853,f241]) ).

fof(f19853,plain,
    ( sF12 != not1(false1)
    | ~ spl18_40
    | spl18_113 ),
    inference(backward_demodulation,[],[f9607,f2299]) ).

fof(f19826,plain,
    ( spl18_171
    | spl18_74
    | ~ spl18_77
    | ~ spl18_115 ),
    inference(avatar_split_clause,[],[f19825,f9776,f6390,f6375,f19808]) ).

fof(f19825,plain,
    ( true = impl(false1,sF12)
    | spl18_74
    | ~ spl18_77
    | ~ spl18_115 ),
    inference(subsumption_resolution,[],[f19824,f6376]) ).

fof(f6376,plain,
    ( sF12 != sK7
    | spl18_74 ),
    inference(avatar_component_clause,[],[f6375]) ).

fof(f19824,plain,
    ( sF12 = sK7
    | true = impl(false1,sF12)
    | ~ spl18_77
    | ~ spl18_115 ),
    inference(forward_demodulation,[],[f19823,f6392]) ).

fof(f19823,plain,
    ( true = impl(false1,sF12)
    | lazy_impl(true,sF12) = sK7
    | ~ spl18_115 ),
    inference(forward_demodulation,[],[f2167,f9778]) ).

fof(f19815,plain,
    ( spl18_107
    | spl18_31 ),
    inference(avatar_split_clause,[],[f2021,f1565,f8602]) ).

fof(f8602,plain,
    ( spl18_107
  <=> true = or1(true,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_107])]) ).

fof(f2021,plain,
    ( sF12 = lazy_impl(true,sK7)
    | true = or1(true,sK7) ),
    inference(superposition,[],[f265,f353]) ).

fof(f353,plain,
    ! [X4,X5] :
      ( impl(X4,X5) = lazy_impl(true,X4)
      | true = or1(true,X4) ),
    inference(resolution,[],[f231,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = or1(true,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( true = or1(true,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( bool(X0)
     => true = or1(true,X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3] :
      ( bool(X3)
     => true = or1(true,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom3) ).

fof(f19811,plain,
    ( spl18_71
    | spl18_171
    | ~ spl18_77 ),
    inference(avatar_split_clause,[],[f19806,f6390,f19808,f6362]) ).

fof(f19806,plain,
    ( true = impl(false1,sF12)
    | sF12 = sF13
    | ~ spl18_77 ),
    inference(forward_demodulation,[],[f2237,f6392]) ).

fof(f19746,plain,
    ( ~ spl18_11
    | ~ spl18_39
    | spl18_74 ),
    inference(avatar_contradiction_clause,[],[f19745]) ).

fof(f19745,plain,
    ( $false
    | ~ spl18_11
    | ~ spl18_39
    | spl18_74 ),
    inference(subsumption_resolution,[],[f19744,f19719]) ).

fof(f19719,plain,
    ( true != sF12
    | ~ spl18_39
    | spl18_74 ),
    inference(forward_demodulation,[],[f6376,f2295]) ).

fof(f19744,plain,
    ( true = sF12
    | ~ spl18_11
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f19743,f312]) ).

fof(f19743,plain,
    ( impl(true,true) = sF12
    | ~ spl18_11
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f19742,f2295]) ).

fof(f19516,plain,
    ( spl18_115
    | ~ spl18_74 ),
    inference(avatar_split_clause,[],[f19515,f6375,f9776]) ).

fof(f19515,plain,
    ( sK7 = sF13
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f19514,f16793]) ).

fof(f16793,plain,
    ( impl(sK7,sF9) = sK7
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f265,f6377]) ).

fof(f6377,plain,
    ( sF12 = sK7
    | ~ spl18_74 ),
    inference(avatar_component_clause,[],[f6375]) ).

fof(f19514,plain,
    ( impl(sK7,sF9) = sF13
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f266,f6377]) ).

fof(f19512,plain,
    ( ~ spl18_74
    | spl18_113
    | ~ spl18_169 ),
    inference(avatar_contradiction_clause,[],[f19511]) ).

fof(f19511,plain,
    ( $false
    | ~ spl18_74
    | spl18_113
    | ~ spl18_169 ),
    inference(subsumption_resolution,[],[f19510,f18711]) ).

fof(f18711,plain,
    ( not1(sK7) = sK7
    | ~ spl18_169 ),
    inference(avatar_component_clause,[],[f18709]) ).

fof(f18709,plain,
    ( spl18_169
  <=> not1(sK7) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_169])]) ).

fof(f19510,plain,
    ( not1(sK7) != sK7
    | ~ spl18_74
    | spl18_113 ),
    inference(forward_demodulation,[],[f9607,f6377]) ).

fof(f19508,plain,
    ( ~ spl18_115
    | ~ spl18_78
    | spl18_116 ),
    inference(avatar_split_clause,[],[f19507,f9875,f6395,f9776]) ).

fof(f19507,plain,
    ( sK7 != sF13
    | ~ spl18_78
    | spl18_116 ),
    inference(forward_demodulation,[],[f9876,f6397]) ).

fof(f19500,plain,
    ( ~ spl18_3
    | spl18_36
    | spl18_37
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(avatar_contradiction_clause,[],[f19499]) ).

fof(f19499,plain,
    ( $false
    | ~ spl18_3
    | spl18_36
    | spl18_37
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(subsumption_resolution,[],[f19498,f1688]) ).

fof(f1688,plain,
    ( false1 != sK8
    | spl18_37 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f19498,plain,
    ( false1 = sK8
    | ~ spl18_3
    | spl18_36
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(subsumption_resolution,[],[f19489,f1684]) ).

fof(f1684,plain,
    ( true != sK8
    | spl18_36 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f19489,plain,
    ( true = sK8
    | false1 = sK8
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(resolution,[],[f19375,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = X0
      | false1 = X0 ),
    inference(definition_unfolding,[],[f175,f201]) ).

fof(f175,plain,
    ! [X0] :
      ( false = X0
      | true = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f19375,plain,
    ( bool(sK8)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(subsumption_resolution,[],[f19374,f259]) ).

fof(f19374,plain,
    ( bool(sK8)
    | ~ bool(true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(subsumption_resolution,[],[f19371,f190]) ).

fof(f19371,plain,
    ( bool(sK8)
    | ~ d(true)
    | ~ bool(true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(resolution,[],[f19060,f272]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | ~ bool(X1)
      | bool(X0)
      | ~ d(X1) ),
    inference(subsumption_resolution,[],[f208,f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | d(X0)
      | ~ d(X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( bool(X0)
      | ~ d(X0)
      | ~ bool(X1)
      | forallprefers(X0,X1)
      | ~ d(X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f19060,plain,
    ( ~ forallprefers(sK8,true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47
    | ~ spl18_50 ),
    inference(forward_demodulation,[],[f19051,f2488]) ).

fof(f19051,plain,
    ( ~ forallprefers(lazy_impl(true,sK8),true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47 ),
    inference(superposition,[],[f18873,f284]) ).

fof(f18873,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sK8),true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47 ),
    inference(forward_demodulation,[],[f18870,f18864]) ).

fof(f18864,plain,
    ( ! [X6] : impl(sK8,X6) = sK8
    | ~ spl18_42
    | ~ spl18_47 ),
    inference(backward_demodulation,[],[f2441,f2466]) ).

fof(f2441,plain,
    ( ! [X6] : impl(sK8,X6) = sF11
    | ~ spl18_42 ),
    inference(avatar_component_clause,[],[f2440]) ).

fof(f2440,plain,
    ( spl18_42
  <=> ! [X6] : impl(sK8,X6) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).

fof(f18870,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sK8,impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_47 ),
    inference(backward_demodulation,[],[f18856,f2466]) ).

fof(f18856,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sF11,impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_42 ),
    inference(backward_demodulation,[],[f18846,f2441]) ).

fof(f18846,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3 ),
    inference(backward_demodulation,[],[f17221,f18845]) ).

fof(f18845,plain,
    ( true = sF15
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f18844,f249]) ).

fof(f18844,plain,
    ( sF15 = lazy_impl(false1,sF14)
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f268,f291]) ).

fof(f17221,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),sF15),
    inference(forward_demodulation,[],[f16714,f268]) ).

fof(f16714,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(sF10,sF14)),
    inference(forward_demodulation,[],[f651,f263]) ).

fof(f651,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),sF14)),
    inference(forward_demodulation,[],[f650,f267]) ).

fof(f650,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(sF11,sF13))),
    inference(forward_demodulation,[],[f649,f264]) ).

fof(f649,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),sF13))),
    inference(forward_demodulation,[],[f648,f266]) ).

fof(f648,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(sF12,sF9)))),
    inference(forward_demodulation,[],[f626,f265]) ).

fof(f626,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(impl(sK7,sF9),sF9)))),
    inference(superposition,[],[f230,f262]) ).

fof(f18833,plain,
    ( spl18_169
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(avatar_split_clause,[],[f18830,f9606,f6375,f18709]) ).

fof(f18830,plain,
    ( not1(sK7) = sK7
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(backward_demodulation,[],[f9608,f6377]) ).

fof(f18728,plain,
    ( ~ spl18_39
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_83
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(avatar_split_clause,[],[f18727,f10905,f7095,f6962,f6395,f6375,f6362,f1863,f275,f2293]) ).

fof(f1863,plain,
    ( spl18_38
  <=> impl(true,sK7) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).

fof(f18727,plain,
    ( true != sK7
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_83
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f18726,f6964]) ).

fof(f18726,plain,
    ( sF17 != sK7
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f271,f18644]) ).

fof(f18644,plain,
    ( sF16 = sK7
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f7097,f18621]) ).

fof(f18621,plain,
    ( sF15 = sK7
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f18619,f6397]) ).

fof(f18619,plain,
    ( sF15 = lazy_impl(true,sK7)
    | ~ spl18_1
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f18597,f276]) ).

fof(f18597,plain,
    ( lazy_impl(sF10,sK7) = sF15
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f268,f18596]) ).

fof(f18596,plain,
    ( sF14 = sK7
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f18595,f1865]) ).

fof(f1865,plain,
    ( impl(true,sK7) = sK7
    | ~ spl18_38 ),
    inference(avatar_component_clause,[],[f1863]) ).

fof(f18595,plain,
    ( sF14 = impl(true,sK7)
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f10301,f10907]) ).

fof(f10301,plain,
    ( sF14 = impl(sF11,sK7)
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f10124,f6377]) ).

fof(f10124,plain,
    ( sF14 = impl(sF11,sF12)
    | ~ spl18_71 ),
    inference(forward_demodulation,[],[f267,f6364]) ).

fof(f18714,plain,
    ( spl18_169
    | spl18_83
    | ~ spl18_36
    | ~ spl18_78 ),
    inference(avatar_split_clause,[],[f18713,f6395,f1683,f6962,f18709]) ).

fof(f18713,plain,
    ( true = sF17
    | not1(sK7) = sK7
    | ~ spl18_36
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f17930,f6397]) ).

fof(f17930,plain,
    ( not1(sK7) = lazy_impl(true,sK7)
    | true = sF17
    | ~ spl18_36 ),
    inference(superposition,[],[f341,f17828]) ).

fof(f17828,plain,
    ( or1(true,sK7) = sF17
    | ~ spl18_36 ),
    inference(backward_demodulation,[],[f270,f1685]) ).

fof(f341,plain,
    ! [X2] :
      ( true = or1(true,X2)
      | not1(X2) = lazy_impl(true,X2) ),
    inference(resolution,[],[f232,f209]) ).

fof(f18701,plain,
    ( spl18_83
    | ~ spl18_36
    | ~ spl18_107 ),
    inference(avatar_split_clause,[],[f18700,f8602,f1683,f6962]) ).

fof(f18700,plain,
    ( true = sF17
    | ~ spl18_36
    | ~ spl18_107 ),
    inference(backward_demodulation,[],[f17828,f8604]) ).

fof(f8604,plain,
    ( true = or1(true,sK7)
    | ~ spl18_107 ),
    inference(avatar_component_clause,[],[f8602]) ).

fof(f18696,plain,
    ( spl18_83
    | spl18_84
    | ~ spl18_36 ),
    inference(avatar_split_clause,[],[f17888,f1683,f6966,f6962]) ).

fof(f17888,plain,
    ( false1 = prop(sK7)
    | true = sF17
    | ~ spl18_36 ),
    inference(superposition,[],[f320,f17828]) ).

fof(f320,plain,
    ! [X0] :
      ( true = or1(true,X0)
      | prop(X0) = false1 ),
    inference(resolution,[],[f209,f223]) ).

fof(f18677,plain,
    ( ~ spl18_1
    | ~ spl18_36
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f18676]) ).

fof(f18676,plain,
    ( $false
    | ~ spl18_1
    | ~ spl18_36
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f18675,f18644]) ).

fof(f18675,plain,
    ( sF16 != sK7
    | ~ spl18_36
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f271,f18478]) ).

fof(f18478,plain,
    ( sF17 = sK7
    | ~ spl18_36
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f17828,f18477]) ).

fof(f18477,plain,
    ( or1(true,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f18469,f6397]) ).

fof(f18469,plain,
    ( or1(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f18450,f528]) ).

fof(f18450,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f18442]) ).

fof(f18442,plain,
    ( ~ bool(sK7)
    | false1 != false1
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f18538,plain,
    ( ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83
    | ~ spl18_84
    | ~ spl18_87 ),
    inference(avatar_contradiction_clause,[],[f18537]) ).

fof(f18537,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83
    | ~ spl18_84
    | ~ spl18_87 ),
    inference(subsumption_resolution,[],[f18536,f7055]) ).

fof(f7055,plain,
    ( forallprefers(sK7,true)
    | ~ spl18_87 ),
    inference(avatar_component_clause,[],[f7054]) ).

fof(f7054,plain,
    ( spl18_87
  <=> forallprefers(sK7,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).

fof(f18536,plain,
    ( ~ forallprefers(sK7,true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f18535,f6397]) ).

fof(f18535,plain,
    ( ~ forallprefers(lazy_impl(true,sK7),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f18534,f18481]) ).

fof(f18481,plain,
    ( impl(false1,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f18467,f6397]) ).

fof(f18467,plain,
    ( impl(false1,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f18450,f511]) ).

fof(f18534,plain,
    ( ~ forallprefers(lazy_impl(true,impl(false1,sK7)),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83 ),
    inference(forward_demodulation,[],[f18491,f313]) ).

fof(f18491,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(true,false1),sK7)),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83 ),
    inference(superposition,[],[f18430,f6234]) ).

fof(f18430,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sK7)),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83 ),
    inference(forward_demodulation,[],[f18423,f18422]) ).

fof(f18422,plain,
    ( ! [X4] : impl(sK7,X4) = sK7
    | ~ spl18_36
    | ~ spl18_78
    | spl18_83 ),
    inference(forward_demodulation,[],[f18421,f6397]) ).

fof(f18421,plain,
    ( ! [X4] : impl(sK7,X4) = lazy_impl(true,sK7)
    | ~ spl18_36
    | spl18_83 ),
    inference(subsumption_resolution,[],[f18360,f6963]) ).

fof(f6963,plain,
    ( true != sF17
    | spl18_83 ),
    inference(avatar_component_clause,[],[f6962]) ).

fof(f18360,plain,
    ( ! [X4] :
        ( impl(sK7,X4) = lazy_impl(true,sK7)
        | true = sF17 )
    | ~ spl18_36 ),
    inference(superposition,[],[f353,f17828]) ).

fof(f18423,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(sK7,X0))),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74
    | ~ spl18_78
    | spl18_83 ),
    inference(backward_demodulation,[],[f17840,f18422]) ).

fof(f17840,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_36
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f17818,f1685]) ).

fof(f17818,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17817,f249]) ).

fof(f17817,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(false1,impl(impl(sK8,sF9),sK7)))
    | ~ spl18_3
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17774,f17247]) ).

fof(f17247,plain,
    ( false1 = prop(sF9)
    | ~ spl18_3 ),
    inference(backward_demodulation,[],[f263,f291]) ).

fof(f17774,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),sK7)))
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17773,f16793]) ).

fof(f17773,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(prop(sF9),impl(impl(sK8,sF9),impl(sK7,sF9))))
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17772,f16793]) ).

fof(f17842,plain,
    ( ~ spl18_36
    | spl18_50 ),
    inference(avatar_contradiction_clause,[],[f17841]) ).

fof(f17841,plain,
    ( $false
    | ~ spl18_36
    | spl18_50 ),
    inference(subsumption_resolution,[],[f17836,f324]) ).

fof(f17836,plain,
    ( true != lazy_impl(true,true)
    | ~ spl18_36
    | spl18_50 ),
    inference(backward_demodulation,[],[f2487,f1685]) ).

fof(f2487,plain,
    ( sK8 != lazy_impl(true,sK8)
    | spl18_50 ),
    inference(avatar_component_clause,[],[f2486]) ).

fof(f17798,plain,
    ( ~ spl18_3
    | spl18_25
    | ~ spl18_42
    | ~ spl18_48
    | ~ spl18_81 ),
    inference(avatar_contradiction_clause,[],[f17797]) ).

fof(f17797,plain,
    ( $false
    | ~ spl18_3
    | spl18_25
    | ~ spl18_42
    | ~ spl18_48
    | ~ spl18_81 ),
    inference(subsumption_resolution,[],[f17796,f6644]) ).

fof(f17796,plain,
    ( ~ forallprefers(err,true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_42
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f17788,f323]) ).

fof(f17788,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_42
    | ~ spl18_48 ),
    inference(superposition,[],[f17770,f6234]) ).

fof(f17770,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
    | ~ spl18_3
    | spl18_25
    | ~ spl18_42
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f17769,f1547]) ).

fof(f17769,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(err,impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_42
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f17482,f17761]) ).

fof(f17761,plain,
    ( ! [X6] : err = impl(sK8,X6)
    | ~ spl18_42
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f2441,f2470]) ).

fof(f2470,plain,
    ( err = sF11
    | ~ spl18_48 ),
    inference(avatar_component_clause,[],[f2468]) ).

fof(f2468,plain,
    ( spl18_48
  <=> err = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).

fof(f17482,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f17221,f17261]) ).

fof(f17261,plain,
    ( true = sF15
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f17248,f249]) ).

fof(f17248,plain,
    ( sF15 = lazy_impl(false1,sF14)
    | ~ spl18_3 ),
    inference(backward_demodulation,[],[f268,f291]) ).

fof(f17583,plain,
    ( spl18_2
    | ~ spl18_8
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(avatar_contradiction_clause,[],[f17582]) ).

fof(f17582,plain,
    ( $false
    | spl18_2
    | ~ spl18_8
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(subsumption_resolution,[],[f17581,f248]) ).

fof(f248,plain,
    err != false1,
    inference(definition_unfolding,[],[f196,f201]) ).

fof(f196,plain,
    false != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f17581,plain,
    ( err = false1
    | spl18_2
    | ~ spl18_8
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f17538,f445]) ).

fof(f17538,plain,
    ( false1 = not1(sF9)
    | spl18_2
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f17468,f17516]) ).

fof(f17516,plain,
    ( false1 = impl(false1,sF9)
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f16793,f2299]) ).

fof(f17468,plain,
    ( impl(false1,sF9) = not1(sF9)
    | spl18_2 ),
    inference(backward_demodulation,[],[f17392,f17386]) ).

fof(f17386,plain,
    ( lazy_impl(true,sF9) = not1(sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f232]) ).

fof(f17392,plain,
    ( lazy_impl(true,sF9) = impl(false1,sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f511]) ).

fof(f17542,plain,
    ( spl18_167
    | spl18_2
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(avatar_split_clause,[],[f17540,f6375,f2297,f279,f15782]) ).

fof(f15782,plain,
    ( spl18_167
  <=> false1 = and1(false1,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_167])]) ).

fof(f17540,plain,
    ( false1 = and1(false1,sF9)
    | spl18_2
    | ~ spl18_40
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f17465,f17538]) ).

fof(f17465,plain,
    ( and1(false1,sF9) = not1(sF9)
    | spl18_2 ),
    inference(backward_demodulation,[],[f17393,f17386]) ).

fof(f17393,plain,
    ( lazy_impl(true,sF9) = and1(false1,sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f520]) ).

fof(f520,plain,
    ! [X20] :
      ( bool(X20)
      | lazy_impl(true,X20) = and1(false1,X20) ),
    inference(resolution,[],[f238,f258]) ).

fof(f17447,plain,
    ( spl18_2
    | ~ spl18_8
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(avatar_contradiction_clause,[],[f17446]) ).

fof(f17446,plain,
    ( $false
    | spl18_2
    | ~ spl18_8
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(subsumption_resolution,[],[f17445,f197]) ).

fof(f17445,plain,
    ( true = err
    | spl18_2
    | ~ spl18_8
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17444,f17406]) ).

fof(f17406,plain,
    ( true = lazy_impl(true,sF9)
    | spl18_2
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17391,f17220]) ).

fof(f17220,plain,
    ( true = impl(true,sF9)
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f16660,f17111]) ).

fof(f17111,plain,
    ( true = sF12
    | ~ spl18_39
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f6377,f2295]) ).

fof(f16660,plain,
    ( sF12 = impl(sF12,sF9)
    | ~ spl18_71 ),
    inference(backward_demodulation,[],[f266,f6364]) ).

fof(f17391,plain,
    ( lazy_impl(true,sF9) = impl(true,sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f510]) ).

fof(f17444,plain,
    ( err = lazy_impl(true,sF9)
    | spl18_2
    | ~ spl18_8 ),
    inference(forward_demodulation,[],[f17386,f445]) ).

fof(f17433,plain,
    ( spl18_2
    | ~ spl18_9
    | spl18_11
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(avatar_contradiction_clause,[],[f17432]) ).

fof(f17432,plain,
    ( $false
    | spl18_2
    | ~ spl18_9
    | spl18_11
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(subsumption_resolution,[],[f17431,f474]) ).

fof(f474,plain,
    ( true != sF9
    | spl18_11 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f17431,plain,
    ( true = sF9
    | spl18_2
    | ~ spl18_9
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f450,f17406]) ).

fof(f17425,plain,
    ( spl18_2
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_167 ),
    inference(avatar_contradiction_clause,[],[f17424]) ).

fof(f17424,plain,
    ( $false
    | spl18_2
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_167 ),
    inference(subsumption_resolution,[],[f17422,f247]) ).

fof(f17422,plain,
    ( true = false1
    | spl18_2
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_167 ),
    inference(backward_demodulation,[],[f17407,f17406]) ).

fof(f17407,plain,
    ( false1 = lazy_impl(true,sF9)
    | spl18_2
    | ~ spl18_167 ),
    inference(forward_demodulation,[],[f17393,f15784]) ).

fof(f15784,plain,
    ( false1 = and1(false1,sF9)
    | ~ spl18_167 ),
    inference(avatar_component_clause,[],[f15782]) ).

fof(f17417,plain,
    ( spl18_2
    | ~ spl18_9
    | spl18_10
    | ~ spl18_167 ),
    inference(avatar_contradiction_clause,[],[f17416]) ).

fof(f17416,plain,
    ( $false
    | spl18_2
    | ~ spl18_9
    | spl18_10
    | ~ spl18_167 ),
    inference(subsumption_resolution,[],[f17415,f470]) ).

fof(f470,plain,
    ( false1 != sF9
    | spl18_10 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f17415,plain,
    ( false1 = sF9
    | spl18_2
    | ~ spl18_9
    | ~ spl18_167 ),
    inference(backward_demodulation,[],[f450,f17407]) ).

fof(f17302,plain,
    ( spl18_122
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(avatar_split_clause,[],[f17301,f7133,f7128,f10662]) ).

fof(f17301,plain,
    ( err = sF14
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(forward_demodulation,[],[f7135,f7130]) ).

fof(f17283,plain,
    ( ~ spl18_3
    | ~ spl18_83
    | ~ spl18_90 ),
    inference(avatar_contradiction_clause,[],[f17282]) ).

fof(f17282,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_83
    | ~ spl18_90 ),
    inference(subsumption_resolution,[],[f17281,f17227]) ).

fof(f17227,plain,
    ( true != sF16
    | ~ spl18_83 ),
    inference(forward_demodulation,[],[f271,f6964]) ).

fof(f17281,plain,
    ( true = sF16
    | ~ spl18_3
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f7097,f17261]) ).

fof(f17276,plain,
    ( ~ spl18_36
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | spl18_123 ),
    inference(avatar_contradiction_clause,[],[f17275]) ).

fof(f17275,plain,
    ( $false
    | ~ spl18_36
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | spl18_123 ),
    inference(subsumption_resolution,[],[f17274,f10906]) ).

fof(f10906,plain,
    ( true != sF11
    | spl18_123 ),
    inference(avatar_component_clause,[],[f10905]) ).

fof(f17274,plain,
    ( true = sF11
    | ~ spl18_36
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f17273,f17220]) ).

fof(f17273,plain,
    ( impl(true,sF9) = sF11
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f264,f1685]) ).

fof(f17181,plain,
    ( ~ spl18_11
    | ~ spl18_36
    | spl18_123 ),
    inference(avatar_contradiction_clause,[],[f17180]) ).

fof(f17180,plain,
    ( $false
    | ~ spl18_11
    | ~ spl18_36
    | spl18_123 ),
    inference(subsumption_resolution,[],[f17179,f10906]) ).

fof(f17179,plain,
    ( true = sF11
    | ~ spl18_11
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f17174,f312]) ).

fof(f17174,plain,
    ( impl(true,true) = sF11
    | ~ spl18_11
    | ~ spl18_36 ),
    inference(backward_demodulation,[],[f17093,f1685]) ).

fof(f17093,plain,
    ( impl(sK8,true) = sF11
    | ~ spl18_11 ),
    inference(forward_demodulation,[],[f264,f475]) ).

fof(f17108,plain,
    ( spl18_78
    | ~ spl18_32
    | ~ spl18_74
    | ~ spl18_115 ),
    inference(avatar_split_clause,[],[f17107,f9776,f6375,f1571,f6395]) ).

fof(f17107,plain,
    ( lazy_impl(true,sK7) = sK7
    | ~ spl18_32
    | ~ spl18_74
    | ~ spl18_115 ),
    inference(forward_demodulation,[],[f17106,f6377]) ).

fof(f17106,plain,
    ( lazy_impl(true,sF12) = sK7
    | ~ spl18_32
    | ~ spl18_115 ),
    inference(forward_demodulation,[],[f1573,f9778]) ).

fof(f16979,plain,
    ( spl18_74
    | ~ spl18_71
    | ~ spl18_115 ),
    inference(avatar_split_clause,[],[f16978,f9776,f6362,f6375]) ).

fof(f16978,plain,
    ( sF12 = sK7
    | ~ spl18_71
    | ~ spl18_115 ),
    inference(forward_demodulation,[],[f6364,f9778]) ).

fof(f16973,plain,
    ( spl18_38
    | ~ spl18_39 ),
    inference(avatar_contradiction_clause,[],[f16972]) ).

fof(f16972,plain,
    ( $false
    | spl18_38
    | ~ spl18_39 ),
    inference(subsumption_resolution,[],[f16971,f312]) ).

fof(f16971,plain,
    ( true != impl(true,true)
    | spl18_38
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f1864,f2295]) ).

fof(f1864,plain,
    ( impl(true,sK7) != sK7
    | spl18_38 ),
    inference(avatar_component_clause,[],[f1863]) ).

fof(f16947,plain,
    ( spl18_34
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f16946]) ).

fof(f16946,plain,
    ( $false
    | spl18_34
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f16945,f16930]) ).

fof(f16930,plain,
    ( true != sF14
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16929,f324]) ).

fof(f16929,plain,
    ( sF14 != lazy_impl(true,true)
    | spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f1582,f10907]) ).

fof(f16945,plain,
    ( true = sF14
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16944,f312]) ).

fof(f16944,plain,
    ( sF14 = impl(true,true)
    | ~ spl18_39
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16765,f2295]) ).

fof(f16765,plain,
    ( sF14 = impl(true,sK7)
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f10301,f10907]) ).

fof(f16819,plain,
    ( ~ spl18_1
    | ~ spl18_34
    | spl18_93
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f16818]) ).

fof(f16818,plain,
    ( $false
    | ~ spl18_1
    | ~ spl18_34
    | spl18_93
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f16817,f16779]) ).

fof(f16779,plain,
    ( true != sF15
    | ~ spl18_34
    | spl18_93
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f7119,f16778]) ).

fof(f16778,plain,
    ( true = sF14
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16777,f324]) ).

fof(f16777,plain,
    ( sF14 = lazy_impl(true,true)
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f1583,f10907]) ).

fof(f7119,plain,
    ( sF14 != sF15
    | spl18_93 ),
    inference(avatar_component_clause,[],[f7118]) ).

fof(f16817,plain,
    ( true = sF15
    | ~ spl18_1
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16816,f324]) ).

fof(f16816,plain,
    ( sF15 = lazy_impl(true,true)
    | ~ spl18_1
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16815,f276]) ).

fof(f16815,plain,
    ( sF15 = lazy_impl(sF10,true)
    | ~ spl18_34
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f268,f16778]) ).

fof(f16790,plain,
    ( ~ spl18_34
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f16789]) ).

fof(f16789,plain,
    ( $false
    | ~ spl18_34
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f16788,f197]) ).

fof(f16788,plain,
    ( true = err
    | ~ spl18_34
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f16780,f324]) ).

fof(f16780,plain,
    ( err = lazy_impl(true,true)
    | ~ spl18_34
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f7130,f16778]) ).

fof(f16754,plain,
    ( spl18_30
    | ~ spl18_33
    | ~ spl18_74 ),
    inference(avatar_split_clause,[],[f16753,f6375,f1575,f1561]) ).

fof(f1561,plain,
    ( spl18_30
  <=> true = prop(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).

fof(f1575,plain,
    ( spl18_33
  <=> true = prop(sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).

fof(f16753,plain,
    ( true = prop(sK7)
    | ~ spl18_33
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f1577,f6377]) ).

fof(f1577,plain,
    ( true = prop(sF12)
    | ~ spl18_33 ),
    inference(avatar_component_clause,[],[f1575]) ).

fof(f16739,plain,
    ( spl18_123
    | ~ spl18_11
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f16738,f1687,f473,f10905]) ).

fof(f16738,plain,
    ( true = sF11
    | ~ spl18_11
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f16729,f333]) ).

fof(f16729,plain,
    ( impl(false1,true) = sF11
    | ~ spl18_11
    | ~ spl18_37 ),
    inference(backward_demodulation,[],[f15268,f475]) ).

fof(f15268,plain,
    ( impl(false1,sF9) = sF11
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f264,f1689]) ).

fof(f16719,plain,
    ( spl18_34
    | spl18_120 ),
    inference(avatar_split_clause,[],[f1970,f10144,f1581]) ).

fof(f10144,plain,
    ( spl18_120
  <=> true = or1(true,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_120])]) ).

fof(f1970,plain,
    ( true = or1(true,sF11)
    | sF14 = lazy_impl(true,sF11) ),
    inference(superposition,[],[f353,f267]) ).

fof(f16666,plain,
    ( ~ spl18_37
    | ~ spl18_40
    | ~ spl18_48
    | spl18_76 ),
    inference(avatar_contradiction_clause,[],[f16665]) ).

fof(f16665,plain,
    ( $false
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_48
    | spl18_76 ),
    inference(subsumption_resolution,[],[f16664,f6386]) ).

fof(f6386,plain,
    ( err != sF12
    | spl18_76 ),
    inference(avatar_component_clause,[],[f6385]) ).

fof(f16664,plain,
    ( err = sF12
    | ~ spl18_37
    | ~ spl18_40
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f16518,f16360]) ).

fof(f16360,plain,
    ( err = impl(false1,sF9)
    | ~ spl18_37
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f15268,f2470]) ).

fof(f16518,plain,
    ( impl(false1,sF9) = sF12
    | ~ spl18_40 ),
    inference(forward_demodulation,[],[f265,f2299]) ).

fof(f16307,plain,
    ( ~ spl18_37
    | ~ spl18_39
    | spl18_83 ),
    inference(avatar_contradiction_clause,[],[f16306]) ).

fof(f16306,plain,
    ( $false
    | ~ spl18_37
    | ~ spl18_39
    | spl18_83 ),
    inference(subsumption_resolution,[],[f16305,f6963]) ).

fof(f16305,plain,
    ( true = sF17
    | ~ spl18_37
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f16304,f336]) ).

fof(f336,plain,
    true = or1(false1,true),
    inference(resolution,[],[f254,f259]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ bool(X0)
      | or1(false1,X0) = X0 ),
    inference(definition_unfolding,[],[f205,f201]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ bool(X0)
      | or1(false,X0) = X0 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ bool(X0)
      | or1(false,X0) = X0 ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( bool(X0)
     => or1(false,X0) = X0 ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X3] :
      ( bool(X3)
     => or1(false,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom4) ).

fof(f16304,plain,
    ( or1(false1,true) = sF17
    | ~ spl18_37
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f11061,f2295]) ).

fof(f11061,plain,
    ( sF17 = or1(false1,sK7)
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f270,f1689]) ).

fof(f16284,plain,
    ( ~ spl18_39
    | spl18_108 ),
    inference(avatar_contradiction_clause,[],[f16283]) ).

fof(f16283,plain,
    ( $false
    | ~ spl18_39
    | spl18_108 ),
    inference(subsumption_resolution,[],[f16282,f333]) ).

fof(f16282,plain,
    ( true != impl(false1,true)
    | ~ spl18_39
    | spl18_108 ),
    inference(forward_demodulation,[],[f8617,f2295]) ).

fof(f8617,plain,
    ( true != impl(false1,sK7)
    | spl18_108 ),
    inference(avatar_component_clause,[],[f8616]) ).

fof(f16149,plain,
    ( ~ spl18_40
    | spl18_108 ),
    inference(avatar_contradiction_clause,[],[f16148]) ).

fof(f16148,plain,
    ( $false
    | ~ spl18_40
    | spl18_108 ),
    inference(subsumption_resolution,[],[f16105,f334]) ).

fof(f16105,plain,
    ( true != impl(false1,false1)
    | ~ spl18_40
    | spl18_108 ),
    inference(backward_demodulation,[],[f8617,f2299]) ).

fof(f16089,plain,
    ( ~ spl18_3
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_87 ),
    inference(avatar_contradiction_clause,[],[f16088]) ).

fof(f16088,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_87 ),
    inference(subsumption_resolution,[],[f16087,f7055]) ).

fof(f16087,plain,
    ( ~ forallprefers(sK7,true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f16086,f6397]) ).

fof(f16086,plain,
    ( ~ forallprefers(lazy_impl(true,sK7),true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f16085,f6234]) ).

fof(f16085,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),sK7),true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f16041,f1865]) ).

fof(f16041,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,sK7)),true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(superposition,[],[f15859,f334]) ).

fof(f15859,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),sK7)),true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f15858,f13911]) ).

fof(f13911,plain,
    ( ! [X3] : impl(sK7,X3) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f13907,f6397]) ).

fof(f13907,plain,
    ( ! [X3] : impl(sK7,X3) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f13898,f231]) ).

fof(f13898,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f13893]) ).

fof(f13893,plain,
    ( false1 != false1
    | ~ bool(sK7)
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f15858,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(sK7,X0))),true)
    | ~ spl18_3
    | ~ spl18_37
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f15857,f13911]) ).

fof(f15857,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f15807,f1689]) ).

fof(f15807,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),true)
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f15806,f249]) ).

fof(f15806,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK8,X0),impl(impl(sK7,X0),X0))),lazy_impl(false1,sF14))
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f651,f15558]) ).

fof(f15558,plain,
    ( false1 = prop(sF9)
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f263,f291]) ).

fof(f15536,plain,
    ( spl18_76
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_122
    | ~ spl18_123 ),
    inference(avatar_split_clause,[],[f15477,f10905,f10662,f6375,f6362,f1863,f6385]) ).

fof(f15477,plain,
    ( err = sF12
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_122
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f6377,f15473]) ).

fof(f15473,plain,
    ( err = sK7
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_122
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f15425,f10664]) ).

fof(f15425,plain,
    ( sF14 = sK7
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f15421,f1865]) ).

fof(f15421,plain,
    ( sF14 = impl(true,sK7)
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f10301,f10907]) ).

fof(f15452,plain,
    ( ~ spl18_38
    | ~ spl18_71
    | spl18_73
    | ~ spl18_74
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f15451]) ).

fof(f15451,plain,
    ( $false
    | ~ spl18_38
    | ~ spl18_71
    | spl18_73
    | ~ spl18_74
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f15450,f6372]) ).

fof(f6372,plain,
    ( err != lazy_impl(true,sK7)
    | spl18_73 ),
    inference(avatar_component_clause,[],[f6371]) ).

fof(f15450,plain,
    ( err = lazy_impl(true,sK7)
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_95
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f7130,f15425]) ).

fof(f15444,plain,
    ( ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | spl18_96
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f15443]) ).

fof(f15443,plain,
    ( $false
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | spl18_96
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f15442,f6397]) ).

fof(f15442,plain,
    ( lazy_impl(true,sK7) != sK7
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | spl18_96
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f7134,f15425]) ).

fof(f7134,plain,
    ( sF14 != lazy_impl(true,sF14)
    | spl18_96 ),
    inference(avatar_component_clause,[],[f7133]) ).

fof(f15384,plain,
    ( spl18_96
    | ~ spl18_122 ),
    inference(avatar_contradiction_clause,[],[f15383]) ).

fof(f15383,plain,
    ( $false
    | spl18_96
    | ~ spl18_122 ),
    inference(subsumption_resolution,[],[f15382,f323]) ).

fof(f15382,plain,
    ( err != lazy_impl(true,err)
    | spl18_96
    | ~ spl18_122 ),
    inference(forward_demodulation,[],[f7134,f10664]) ).

fof(f15306,plain,
    ( spl18_74
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(avatar_split_clause,[],[f15304,f6966,f6395,f6375]) ).

fof(f15304,plain,
    ( sF12 = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f265,f13911]) ).

fof(f15255,plain,
    ( ~ spl18_94
    | ~ spl18_89
    | spl18_90 ),
    inference(avatar_split_clause,[],[f15254,f7095,f7091,f7122]) ).

fof(f15254,plain,
    ( err != sF15
    | ~ spl18_89
    | spl18_90 ),
    inference(backward_demodulation,[],[f7096,f7093]) ).

fof(f7096,plain,
    ( sF15 != sF16
    | spl18_90 ),
    inference(avatar_component_clause,[],[f7095]) ).

fof(f15182,plain,
    ( ~ spl18_37
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_123 ),
    inference(avatar_contradiction_clause,[],[f15181]) ).

fof(f15181,plain,
    ( $false
    | ~ spl18_37
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93
    | ~ spl18_123 ),
    inference(subsumption_resolution,[],[f15180,f13596]) ).

fof(f13596,plain,
    ( sF14 = sK7
    | ~ spl18_38
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(forward_demodulation,[],[f13588,f1865]) ).

fof(f13588,plain,
    ( sF14 = impl(true,sK7)
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_123 ),
    inference(backward_demodulation,[],[f10301,f10907]) ).

fof(f15180,plain,
    ( sF14 != sK7
    | ~ spl18_37
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f11055,f15177]) ).

fof(f15177,plain,
    ( sF17 = sK7
    | ~ spl18_37
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f15176,f6397]) ).

fof(f15176,plain,
    ( sF17 = lazy_impl(true,sK7)
    | ~ spl18_37
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f15170,f11061]) ).

fof(f15170,plain,
    ( lazy_impl(true,sK7) = or1(false1,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f529,f13898]) ).

fof(f11055,plain,
    ( sF14 != sF17
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f271,f10650]) ).

fof(f10650,plain,
    ( sF14 = sF16
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7097,f7120]) ).

fof(f15136,plain,
    ( spl18_40
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_112 ),
    inference(avatar_contradiction_clause,[],[f15135]) ).

fof(f15135,plain,
    ( $false
    | spl18_40
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_112 ),
    inference(subsumption_resolution,[],[f15134,f2298]) ).

fof(f2298,plain,
    ( false1 != sK7
    | spl18_40 ),
    inference(avatar_component_clause,[],[f2297]) ).

fof(f15134,plain,
    ( false1 = sK7
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_112 ),
    inference(forward_demodulation,[],[f15133,f9604]) ).

fof(f9604,plain,
    ( false1 = and1(false1,sK7)
    | ~ spl18_112 ),
    inference(avatar_component_clause,[],[f9602]) ).

fof(f9602,plain,
    ( spl18_112
  <=> false1 = and1(false1,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_112])]) ).

fof(f15133,plain,
    ( and1(false1,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f15132,f6397]) ).

fof(f15132,plain,
    ( and1(false1,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f520,f13898]) ).

fof(f13818,plain,
    ( spl18_30
    | spl18_84 ),
    inference(avatar_contradiction_clause,[],[f13817]) ).

fof(f13817,plain,
    ( $false
    | spl18_30
    | spl18_84 ),
    inference(subsumption_resolution,[],[f13816,f1562]) ).

fof(f1562,plain,
    ( true != prop(sK7)
    | spl18_30 ),
    inference(avatar_component_clause,[],[f1561]) ).

fof(f13816,plain,
    ( true = prop(sK7)
    | spl18_84 ),
    inference(trivial_inequality_removal,[],[f13815]) ).

fof(f13815,plain,
    ( true = prop(sK7)
    | false1 != false1
    | spl18_84 ),
    inference(superposition,[],[f6967,f294]) ).

fof(f294,plain,
    ! [X0] :
      ( prop(X0) = false1
      | true = prop(X0) ),
    inference(resolution,[],[f223,f211]) ).

fof(f6967,plain,
    ( false1 != prop(sK7)
    | spl18_84 ),
    inference(avatar_component_clause,[],[f6966]) ).

fof(f11065,plain,
    ( ~ spl18_37
    | spl18_50 ),
    inference(avatar_contradiction_clause,[],[f11064]) ).

fof(f11064,plain,
    ( $false
    | ~ spl18_37
    | spl18_50 ),
    inference(subsumption_resolution,[],[f11063,f325]) ).

fof(f11063,plain,
    ( false1 != lazy_impl(true,false1)
    | ~ spl18_37
    | spl18_50 ),
    inference(forward_demodulation,[],[f2487,f1689]) ).

fof(f10789,plain,
    ( spl18_95
    | ~ spl18_122 ),
    inference(avatar_contradiction_clause,[],[f10788]) ).

fof(f10788,plain,
    ( $false
    | spl18_95
    | ~ spl18_122 ),
    inference(subsumption_resolution,[],[f10777,f323]) ).

fof(f10777,plain,
    ( err != lazy_impl(true,err)
    | spl18_95
    | ~ spl18_122 ),
    inference(backward_demodulation,[],[f7129,f10664]) ).

fof(f7129,plain,
    ( err != lazy_impl(true,sF14)
    | spl18_95 ),
    inference(avatar_component_clause,[],[f7128]) ).

fof(f10759,plain,
    ( spl18_122
    | ~ spl18_34
    | ~ spl18_48 ),
    inference(avatar_split_clause,[],[f10758,f2468,f1581,f10662]) ).

fof(f10758,plain,
    ( err = sF14
    | ~ spl18_34
    | ~ spl18_48 ),
    inference(forward_demodulation,[],[f10730,f323]) ).

fof(f10730,plain,
    ( sF14 = lazy_impl(true,err)
    | ~ spl18_34
    | ~ spl18_48 ),
    inference(backward_demodulation,[],[f1583,f2470]) ).

fof(f10718,plain,
    ( ~ spl18_29
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(avatar_contradiction_clause,[],[f10717]) ).

fof(f10717,plain,
    ( $false
    | ~ spl18_29
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_50
    | ~ spl18_53
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(subsumption_resolution,[],[f10716,f10704]) ).

fof(f10704,plain,
    ( sK8 = sF16
    | ~ spl18_29
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f10689,f2466]) ).

fof(f10689,plain,
    ( sF16 = sF11
    | ~ spl18_29
    | ~ spl18_34
    | ~ spl18_47
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f10650,f10685]) ).

fof(f10685,plain,
    ( sF14 = sF11
    | ~ spl18_29
    | ~ spl18_34
    | ~ spl18_47 ),
    inference(forward_demodulation,[],[f10570,f1545]) ).

fof(f1545,plain,
    ( lazy_impl(true,sK8) = sF11
    | ~ spl18_29 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f10570,plain,
    ( sF14 = lazy_impl(true,sK8)
    | ~ spl18_34
    | ~ spl18_47 ),
    inference(forward_demodulation,[],[f1583,f2466]) ).

fof(f10716,plain,
    ( sK8 != sF16
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(forward_demodulation,[],[f271,f10695]) ).

fof(f10695,plain,
    ( sK8 = sF17
    | ~ spl18_50
    | ~ spl18_53 ),
    inference(forward_demodulation,[],[f2515,f2488]) ).

fof(f10674,plain,
    ( ~ spl18_47
    | ~ spl18_48
    | spl18_51 ),
    inference(avatar_contradiction_clause,[],[f10673]) ).

fof(f10673,plain,
    ( $false
    | ~ spl18_47
    | ~ spl18_48
    | spl18_51 ),
    inference(subsumption_resolution,[],[f10672,f323]) ).

fof(f10672,plain,
    ( err != lazy_impl(true,err)
    | ~ spl18_47
    | ~ spl18_48
    | spl18_51 ),
    inference(forward_demodulation,[],[f2494,f10578]) ).

fof(f10578,plain,
    ( err = sK8
    | ~ spl18_47
    | ~ spl18_48 ),
    inference(backward_demodulation,[],[f2466,f2470]) ).

fof(f10566,plain,
    ( ~ spl18_51
    | ~ spl18_53
    | ~ spl18_89 ),
    inference(avatar_contradiction_clause,[],[f10565]) ).

fof(f10565,plain,
    ( $false
    | ~ spl18_51
    | ~ spl18_53
    | ~ spl18_89 ),
    inference(subsumption_resolution,[],[f10564,f7603]) ).

fof(f7603,plain,
    ( err != sF17
    | ~ spl18_89 ),
    inference(forward_demodulation,[],[f271,f7093]) ).

fof(f10564,plain,
    ( err = sF17
    | ~ spl18_51
    | ~ spl18_53 ),
    inference(backward_demodulation,[],[f2515,f2495]) ).

fof(f2495,plain,
    ( err = lazy_impl(true,sK8)
    | ~ spl18_51 ),
    inference(avatar_component_clause,[],[f2493]) ).

fof(f10484,plain,
    ( ~ spl18_74
    | ~ spl18_76
    | spl18_79
    | spl18_84 ),
    inference(avatar_contradiction_clause,[],[f10483]) ).

fof(f10483,plain,
    ( $false
    | ~ spl18_74
    | ~ spl18_76
    | spl18_79
    | spl18_84 ),
    inference(subsumption_resolution,[],[f10466,f6826]) ).

fof(f6826,plain,
    ( false1 = prop(err)
    | spl18_79 ),
    inference(resolution,[],[f6635,f223]) ).

fof(f10466,plain,
    ( false1 != prop(err)
    | ~ spl18_74
    | ~ spl18_76
    | spl18_84 ),
    inference(backward_demodulation,[],[f6967,f10461]) ).

fof(f10461,plain,
    ( err = sK7
    | ~ spl18_74
    | ~ spl18_76 ),
    inference(backward_demodulation,[],[f6377,f6387]) ).

fof(f10460,plain,
    ( spl18_28
    | ~ spl18_35
    | ~ spl18_47 ),
    inference(avatar_contradiction_clause,[],[f10459]) ).

fof(f10459,plain,
    ( $false
    | spl18_28
    | ~ spl18_35
    | ~ spl18_47 ),
    inference(subsumption_resolution,[],[f10458,f1540]) ).

fof(f1540,plain,
    ( true != prop(sK8)
    | spl18_28 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1539,plain,
    ( spl18_28
  <=> true = prop(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).

fof(f10458,plain,
    ( true = prop(sK8)
    | ~ spl18_35
    | ~ spl18_47 ),
    inference(forward_demodulation,[],[f1587,f2466]) ).

fof(f1587,plain,
    ( true = prop(sF11)
    | ~ spl18_35 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1585,plain,
    ( spl18_35
  <=> true = prop(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).

fof(f10328,plain,
    ( ~ spl18_48
    | spl18_79
    | ~ spl18_120 ),
    inference(avatar_contradiction_clause,[],[f10327]) ).

fof(f10327,plain,
    ( $false
    | ~ spl18_48
    | spl18_79
    | ~ spl18_120 ),
    inference(subsumption_resolution,[],[f10326,f197]) ).

fof(f10326,plain,
    ( true = err
    | ~ spl18_48
    | spl18_79
    | ~ spl18_120 ),
    inference(backward_demodulation,[],[f7496,f10307]) ).

fof(f10307,plain,
    ( true = or1(true,err)
    | ~ spl18_48
    | ~ spl18_120 ),
    inference(backward_demodulation,[],[f10146,f2470]) ).

fof(f10146,plain,
    ( true = or1(true,sF11)
    | ~ spl18_120 ),
    inference(avatar_component_clause,[],[f10144]) ).

fof(f7496,plain,
    ( err = or1(true,err)
    | spl18_79 ),
    inference(forward_demodulation,[],[f7464,f323]) ).

fof(f7464,plain,
    ( lazy_impl(true,err) = or1(true,err)
    | spl18_79 ),
    inference(resolution,[],[f528,f6635]) ).

fof(f10237,plain,
    ( ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37
    | ~ spl18_95 ),
    inference(avatar_contradiction_clause,[],[f10236]) ).

fof(f10236,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37
    | ~ spl18_95 ),
    inference(subsumption_resolution,[],[f10235,f197]) ).

fof(f10235,plain,
    ( true = err
    | ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37
    | ~ spl18_95 ),
    inference(forward_demodulation,[],[f10234,f324]) ).

fof(f10234,plain,
    ( err = lazy_impl(true,true)
    | ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37
    | ~ spl18_95 ),
    inference(forward_demodulation,[],[f7130,f10225]) ).

fof(f10225,plain,
    ( true = sF14
    | ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f10224,f324]) ).

fof(f10224,plain,
    ( sF14 = lazy_impl(true,true)
    | ~ spl18_10
    | ~ spl18_34
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f1583,f10159]) ).

fof(f10159,plain,
    ( true = sF11
    | ~ spl18_10
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f10158,f334]) ).

fof(f10158,plain,
    ( impl(false1,false1) = sF11
    | ~ spl18_10
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f5400,f1689]) ).

fof(f5400,plain,
    ( impl(sK8,false1) = sF11
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f264,f471]) ).

fof(f10111,plain,
    ( ~ spl18_40
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(avatar_contradiction_clause,[],[f10110]) ).

fof(f10110,plain,
    ( $false
    | ~ spl18_40
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(subsumption_resolution,[],[f10109,f247]) ).

fof(f10109,plain,
    ( true = false1
    | ~ spl18_40
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f10084,f241]) ).

fof(f10084,plain,
    ( false1 = not1(false1)
    | ~ spl18_40
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(backward_demodulation,[],[f9843,f2299]) ).

fof(f9843,plain,
    ( not1(sK7) = sK7
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f9608,f6377]) ).

fof(f10035,plain,
    ( spl18_74
    | ~ spl18_31
    | ~ spl18_78 ),
    inference(avatar_split_clause,[],[f10034,f6395,f1565,f6375]) ).

fof(f10034,plain,
    ( sF12 = sK7
    | ~ spl18_31
    | ~ spl18_78 ),
    inference(backward_demodulation,[],[f1567,f6397]) ).

fof(f9986,plain,
    ( ~ spl18_39
    | spl18_78 ),
    inference(avatar_contradiction_clause,[],[f9985]) ).

fof(f9985,plain,
    ( $false
    | ~ spl18_39
    | spl18_78 ),
    inference(subsumption_resolution,[],[f9984,f324]) ).

fof(f9984,plain,
    ( true != lazy_impl(true,true)
    | ~ spl18_39
    | spl18_78 ),
    inference(forward_demodulation,[],[f6396,f2295]) ).

fof(f6396,plain,
    ( lazy_impl(true,sK7) != sK7
    | spl18_78 ),
    inference(avatar_component_clause,[],[f6395]) ).

fof(f9979,plain,
    ( ~ spl18_39
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(avatar_contradiction_clause,[],[f9978]) ).

fof(f9978,plain,
    ( $false
    | ~ spl18_39
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(subsumption_resolution,[],[f9977,f247]) ).

fof(f9977,plain,
    ( true = false1
    | ~ spl18_39
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(backward_demodulation,[],[f245,f9976]) ).

fof(f9976,plain,
    ( true = not1(true)
    | ~ spl18_39
    | ~ spl18_74
    | ~ spl18_113 ),
    inference(forward_demodulation,[],[f9843,f2295]) ).

fof(f245,plain,
    false1 = not1(true),
    inference(definition_unfolding,[],[f194,f201]) ).

fof(f194,plain,
    false = not1(true),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom3) ).

fof(f9975,plain,
    ( ~ spl18_39
    | ~ spl18_73 ),
    inference(avatar_contradiction_clause,[],[f9974]) ).

fof(f9974,plain,
    ( $false
    | ~ spl18_39
    | ~ spl18_73 ),
    inference(subsumption_resolution,[],[f9973,f197]) ).

fof(f9973,plain,
    ( true = err
    | ~ spl18_39
    | ~ spl18_73 ),
    inference(forward_demodulation,[],[f9972,f324]) ).

fof(f9972,plain,
    ( err = lazy_impl(true,true)
    | ~ spl18_39
    | ~ spl18_73 ),
    inference(forward_demodulation,[],[f6373,f2295]) ).

fof(f9929,plain,
    ( ~ spl18_10
    | ~ spl18_39
    | ~ spl18_74 ),
    inference(avatar_contradiction_clause,[],[f9928]) ).

fof(f9928,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_74 ),
    inference(subsumption_resolution,[],[f9927,f247]) ).

fof(f9927,plain,
    ( true = false1
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f313,f9904]) ).

fof(f9904,plain,
    ( true = impl(true,false1)
    | ~ spl18_10
    | ~ spl18_39
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f6823,f2295]) ).

fof(f6823,plain,
    ( impl(sK7,false1) = sK7
    | ~ spl18_10
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f5385,f6377]) ).

fof(f5385,plain,
    ( impl(sK7,false1) = sF12
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f265,f471]) ).

fof(f9795,plain,
    ( ~ spl18_115
    | spl18_71
    | ~ spl18_74 ),
    inference(avatar_split_clause,[],[f9794,f6375,f6362,f9776]) ).

fof(f9794,plain,
    ( sK7 != sF13
    | spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f6363,f6377]) ).

fof(f9782,plain,
    ( ~ spl18_115
    | spl18_32
    | ~ spl18_74
    | ~ spl18_78 ),
    inference(avatar_split_clause,[],[f9781,f6395,f6375,f1571,f9776]) ).

fof(f9781,plain,
    ( sK7 != sF13
    | spl18_32
    | ~ spl18_74
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f9780,f6397]) ).

fof(f9780,plain,
    ( lazy_impl(true,sK7) != sF13
    | spl18_32
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f1572,f6377]) ).

fof(f9733,plain,
    ( spl18_114
    | spl18_31 ),
    inference(avatar_split_clause,[],[f2320,f1565,f9613]) ).

fof(f2320,plain,
    ( sF12 = lazy_impl(true,sK7)
    | sK7 = or1(false1,sK7) ),
    inference(superposition,[],[f358,f265]) ).

fof(f358,plain,
    ! [X14,X15] :
      ( impl(X14,X15) = lazy_impl(true,X14)
      | or1(false1,X14) = X14 ),
    inference(resolution,[],[f231,f254]) ).

fof(f9712,plain,
    ( spl18_78
    | ~ spl18_85 ),
    inference(avatar_split_clause,[],[f7259,f7045,f6395]) ).

fof(f7045,plain,
    ( spl18_85
  <=> d(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_85])]) ).

fof(f7259,plain,
    ( lazy_impl(true,sK7) = sK7
    | ~ spl18_85 ),
    inference(resolution,[],[f7047,f227]) ).

fof(f7047,plain,
    ( d(sK7)
    | ~ spl18_85 ),
    inference(avatar_component_clause,[],[f7045]) ).

fof(f9701,plain,
    ( ~ spl18_3
    | ~ spl18_92 ),
    inference(avatar_contradiction_clause,[],[f9700]) ).

fof(f9700,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_92 ),
    inference(subsumption_resolution,[],[f9699,f197]) ).

fof(f9699,plain,
    ( true = err
    | ~ spl18_3
    | ~ spl18_92 ),
    inference(forward_demodulation,[],[f9698,f324]) ).

fof(f9698,plain,
    ( err = lazy_impl(true,true)
    | ~ spl18_3
    | ~ spl18_92 ),
    inference(forward_demodulation,[],[f7108,f9673]) ).

fof(f9673,plain,
    ( true = sF15
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f9672,f249]) ).

fof(f9672,plain,
    ( sF15 = lazy_impl(false1,sF14)
    | ~ spl18_3 ),
    inference(backward_demodulation,[],[f268,f291]) ).

fof(f7108,plain,
    ( err = lazy_impl(true,sF15)
    | ~ spl18_92 ),
    inference(avatar_component_clause,[],[f7106]) ).

fof(f9695,plain,
    ( spl18_2
    | ~ spl18_10 ),
    inference(avatar_contradiction_clause,[],[f9694]) ).

fof(f9694,plain,
    ( $false
    | spl18_2
    | ~ spl18_10 ),
    inference(subsumption_resolution,[],[f9693,f258]) ).

fof(f9693,plain,
    ( ~ bool(false1)
    | spl18_2
    | ~ spl18_10 ),
    inference(forward_demodulation,[],[f280,f471]) ).

fof(f9690,plain,
    ( spl18_31
    | spl18_108 ),
    inference(avatar_split_clause,[],[f2165,f8616,f1565]) ).

fof(f2165,plain,
    ( true = impl(false1,sK7)
    | sF12 = lazy_impl(true,sK7) ),
    inference(superposition,[],[f357,f265]) ).

fof(f9651,plain,
    ( spl18_113
    | spl18_112
    | ~ spl18_84 ),
    inference(avatar_split_clause,[],[f9650,f6966,f9602,f9606]) ).

fof(f9650,plain,
    ( false1 = and1(false1,sK7)
    | not1(sK7) = sF12
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f2078,f7299]) ).

fof(f7299,plain,
    ( not1(sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f7288,f232]) ).

fof(f7288,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f7280]) ).

fof(f7280,plain,
    ( false1 != false1
    | ~ bool(sK7)
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f2078,plain,
    ( sF12 = lazy_impl(true,sK7)
    | false1 = and1(false1,sK7) ),
    inference(superposition,[],[f356,f265]) ).

fof(f356,plain,
    ! [X10,X11] :
      ( false1 = and1(false1,X10)
      | lazy_impl(true,X10) = impl(X10,X11) ),
    inference(resolution,[],[f231,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false1 = and1(false1,X0) ),
    inference(definition_unfolding,[],[f193,f201,f201]) ).

fof(f193,plain,
    ! [X0] :
      ( false = and1(false,X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( false = and1(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( bool(X0)
     => false = and1(false,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3] :
      ( bool(X3)
     => false = and1(false,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_axiom3) ).

fof(f9379,plain,
    ( ~ spl18_39
    | ~ spl18_84 ),
    inference(avatar_contradiction_clause,[],[f9378]) ).

fof(f9378,plain,
    ( $false
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f9377,f247]) ).

fof(f9377,plain,
    ( true = false1
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f245,f9376]) ).

fof(f9376,plain,
    ( true = not1(true)
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f9375,f2295]) ).

fof(f9375,plain,
    ( true = not1(sK7)
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7299,f8729]) ).

fof(f8729,plain,
    ( ! [X1] : true = lazy_impl(true,X1)
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f8728,f324]) ).

fof(f8728,plain,
    ( ! [X1] : lazy_impl(true,X1) = lazy_impl(true,true)
    | ~ spl18_39
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7300,f2295]) ).

fof(f7300,plain,
    ( ! [X1] : lazy_impl(sK7,X1) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f7288,f235]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( bool(X1)
      | lazy_impl(true,X1) = lazy_impl(X1,X0) ),
    inference(definition_unfolding,[],[f176,f149]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( lazy_impl(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( lazy_impl(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( phi(X0) = lazy_impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = lazy_impl(X0,X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => phi(X2) = lazy_impl(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom1) ).

fof(f8590,plain,
    ( ~ spl18_40
    | spl18_78 ),
    inference(avatar_contradiction_clause,[],[f8589]) ).

fof(f8589,plain,
    ( $false
    | ~ spl18_40
    | spl18_78 ),
    inference(subsumption_resolution,[],[f8588,f325]) ).

fof(f8588,plain,
    ( false1 != lazy_impl(true,false1)
    | ~ spl18_40
    | spl18_78 ),
    inference(forward_demodulation,[],[f6396,f2299]) ).

fof(f8587,plain,
    ( ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(avatar_contradiction_clause,[],[f8586]) ).

fof(f8586,plain,
    ( $false
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f8585,f247]) ).

fof(f8585,plain,
    ( true = false1
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f8584,f249]) ).

fof(f8584,plain,
    ( ! [X1] : false1 = lazy_impl(false1,X1)
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f8583,f2299]) ).

fof(f8583,plain,
    ( ! [X1] : false1 = lazy_impl(sK7,X1)
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7511,f7842]) ).

fof(f7842,plain,
    ( ! [X5] : false1 = lazy_impl(true,X5)
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f7841,f7702]) ).

fof(f7702,plain,
    ( ! [X0] :
        ( false1 = lazy_impl(true,X0)
        | ~ bool(X0) )
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f244,f7701]) ).

fof(f7701,plain,
    ( ! [X10] : and1(false1,X10) = lazy_impl(true,X10)
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f7626,f247]) ).

fof(f7626,plain,
    ( ! [X10] :
        ( and1(false1,X10) = lazy_impl(true,X10)
        | true = false1 )
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f1250,f7605]) ).

fof(f7605,plain,
    ( ! [X0] : false1 = impl(false1,X0)
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7604,f325]) ).

fof(f7604,plain,
    ( ! [X0] : lazy_impl(true,false1) = impl(false1,X0)
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7509,f2299]) ).

fof(f7509,plain,
    ( ! [X0] : lazy_impl(true,sK7) = impl(sK7,X0)
    | ~ spl18_84 ),
    inference(resolution,[],[f7288,f231]) ).

fof(f1250,plain,
    ! [X10] :
      ( and1(false1,X10) = lazy_impl(true,X10)
      | true = impl(false1,X10) ),
    inference(resolution,[],[f520,f250]) ).

fof(f7841,plain,
    ( ! [X5] :
        ( bool(X5)
        | false1 = lazy_impl(true,X5) )
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7833,f7605]) ).

fof(f7833,plain,
    ( ! [X5] :
        ( lazy_impl(true,X5) = impl(false1,X5)
        | bool(X5) )
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f1083,f7824]) ).

fof(f7824,plain,
    ( ! [X13] : false1 = lazy_impl(prop(X13),X13)
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7823,f325]) ).

fof(f7823,plain,
    ( ! [X13] : lazy_impl(prop(X13),X13) = lazy_impl(true,false1)
    | ~ spl18_15
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f1089,f7776]) ).

fof(f7776,plain,
    ( ! [X12,X13] : or1(X12,X13) = lazy_impl(true,X12)
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(subsumption_resolution,[],[f7607,f247]) ).

fof(f7607,plain,
    ( ! [X12,X13] :
        ( or1(X12,X13) = lazy_impl(true,X12)
        | true = false1 )
    | ~ spl18_40
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f404,f7605]) ).

fof(f404,plain,
    ! [X12,X13] :
      ( or1(X12,X13) = lazy_impl(true,X12)
      | true = impl(false1,X12) ),
    inference(resolution,[],[f246,f250]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( bool(X0)
      | or1(X0,X1) = lazy_impl(true,X0) ),
    inference(definition_unfolding,[],[f195,f149]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( bool(X0)
      | phi(X0) = or1(X0,X1) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( bool(X0)
      | phi(X0) = or1(X0,X1) ),
    inference(rectify,[],[f111]) ).

fof(f111,plain,
    ! [X1,X0] :
      ( bool(X1)
      | or1(X1,X0) = phi(X1) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ bool(X1)
     => or1(X1,X0) = phi(X1) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3,X2] :
      ( ~ bool(X2)
     => phi(X2) = or1(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom1) ).

fof(f1089,plain,
    ( ! [X13] : lazy_impl(prop(X13),X13) = or1(false1,lazy_impl(prop(X13),X13))
    | ~ spl18_15 ),
    inference(resolution,[],[f752,f254]) ).

fof(f752,plain,
    ( ! [X0] : bool(lazy_impl(prop(X0),X0))
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl18_15
  <=> ! [X0] : bool(lazy_impl(prop(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f1083,plain,
    ( ! [X4,X5] :
        ( impl(lazy_impl(prop(X4),X4),X5) = lazy_impl(true,X5)
        | bool(X5) )
    | ~ spl18_15 ),
    inference(resolution,[],[f752,f229]) ).

fof(f7511,plain,
    ( ! [X1] : lazy_impl(sK7,X1) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f7288,f235]) ).

fof(f7587,plain,
    ( ~ spl18_92
    | ~ spl18_93
    | spl18_95 ),
    inference(avatar_contradiction_clause,[],[f7586]) ).

fof(f7586,plain,
    ( $false
    | ~ spl18_92
    | ~ spl18_93
    | spl18_95 ),
    inference(subsumption_resolution,[],[f7585,f7129]) ).

fof(f7585,plain,
    ( err = lazy_impl(true,sF14)
    | ~ spl18_92
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7108,f7120]) ).

fof(f7582,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_89
    | ~ spl18_93 ),
    inference(avatar_contradiction_clause,[],[f7581]) ).

fof(f7581,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_89
    | ~ spl18_93 ),
    inference(subsumption_resolution,[],[f7580,f7570]) ).

fof(f7570,plain,
    ( err != sF17
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_89
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7536,f7540]) ).

fof(f7540,plain,
    ( err = sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_89
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7535,f7093]) ).

fof(f7535,plain,
    ( sF16 = sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f7534,f6397]) ).

fof(f7534,plain,
    ( sF16 = lazy_impl(true,sK7)
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f269,f7500]) ).

fof(f7500,plain,
    ( sF15 = sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_93 ),
    inference(backward_demodulation,[],[f7120,f7370]) ).

fof(f7370,plain,
    ( sF14 = sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7080,f7353]) ).

fof(f7353,plain,
    ( impl(false1,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7351,f6397]) ).

fof(f7351,plain,
    ( impl(false1,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f511,f7288]) ).

fof(f7080,plain,
    ( sF14 = impl(false1,sK7)
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(forward_demodulation,[],[f6193,f6810]) ).

fof(f6810,plain,
    ( sK7 = sF13
    | ~ spl18_71
    | ~ spl18_74 ),
    inference(backward_demodulation,[],[f6364,f6377]) ).

fof(f6193,plain,
    ( sF14 = impl(false1,sF13)
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f267,f6178]) ).

fof(f6178,plain,
    ( false1 = sF11
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(backward_demodulation,[],[f5401,f313]) ).

fof(f5401,plain,
    ( impl(true,false1) = sF11
    | ~ spl18_10
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f5400,f1685]) ).

fof(f7536,plain,
    ( sF17 != sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f271,f7535]) ).

fof(f7580,plain,
    ( err = sF17
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_89
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f7522,f7540]) ).

fof(f7522,plain,
    ( sF17 = sK7
    | ~ spl18_36
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(backward_demodulation,[],[f4194,f7521]) ).

fof(f7521,plain,
    ( or1(true,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7519,f6397]) ).

fof(f7519,plain,
    ( or1(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f7288,f528]) ).

fof(f4194,plain,
    ( or1(true,sK7) = sF17
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f270,f1685]) ).

fof(f7539,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | spl18_90
    | ~ spl18_93 ),
    inference(avatar_contradiction_clause,[],[f7538]) ).

fof(f7538,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | spl18_90
    | ~ spl18_93 ),
    inference(subsumption_resolution,[],[f7537,f7500]) ).

fof(f7537,plain,
    ( sF15 != sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | spl18_90
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f7096,f7535]) ).

fof(f7524,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(avatar_contradiction_clause,[],[f7523]) ).

fof(f7523,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(subsumption_resolution,[],[f7522,f7501]) ).

fof(f7501,plain,
    ( sF17 != sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_90
    | ~ spl18_93 ),
    inference(forward_demodulation,[],[f7480,f7500]) ).

fof(f7480,plain,
    ( sF15 != sF17
    | ~ spl18_90 ),
    inference(forward_demodulation,[],[f271,f7097]) ).

fof(f7373,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | spl18_73
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95 ),
    inference(avatar_contradiction_clause,[],[f7372]) ).

fof(f7372,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | spl18_73
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95 ),
    inference(subsumption_resolution,[],[f7371,f6372]) ).

fof(f7371,plain,
    ( err = lazy_impl(true,sK7)
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95 ),
    inference(backward_demodulation,[],[f7130,f7370]) ).

fof(f7356,plain,
    ( ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | spl18_76
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(avatar_contradiction_clause,[],[f7355]) ).

fof(f7355,plain,
    ( $false
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | spl18_76
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(subsumption_resolution,[],[f7354,f6843]) ).

fof(f6843,plain,
    ( err != sK7
    | ~ spl18_74
    | spl18_76 ),
    inference(superposition,[],[f6386,f6377]) ).

fof(f7354,plain,
    ( err = sK7
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_78
    | ~ spl18_84
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(forward_demodulation,[],[f7353,f7226]) ).

fof(f7226,plain,
    ( err = impl(false1,sK7)
    | ~ spl18_10
    | ~ spl18_36
    | ~ spl18_71
    | ~ spl18_74
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(backward_demodulation,[],[f7080,f7225]) ).

fof(f7225,plain,
    ( err = sF14
    | ~ spl18_95
    | ~ spl18_96 ),
    inference(forward_demodulation,[],[f7135,f7130]) ).

fof(f7338,plain,
    ( spl18_38
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(avatar_split_clause,[],[f7337,f6966,f6395,f1863]) ).

fof(f7337,plain,
    ( impl(true,sK7) = sK7
    | ~ spl18_78
    | ~ spl18_84 ),
    inference(forward_demodulation,[],[f7334,f6397]) ).

fof(f7334,plain,
    ( impl(true,sK7) = lazy_impl(true,sK7)
    | ~ spl18_84 ),
    inference(resolution,[],[f510,f7288]) ).

fof(f7336,plain,
    ( spl18_27
    | spl18_79 ),
    inference(avatar_split_clause,[],[f7335,f6634,f1379]) ).

fof(f7335,plain,
    ( err = impl(true,err)
    | spl18_79 ),
    inference(forward_demodulation,[],[f7333,f323]) ).

fof(f7333,plain,
    ( lazy_impl(true,err) = impl(true,err)
    | spl18_79 ),
    inference(resolution,[],[f510,f6635]) ).

fof(f7258,plain,
    ( spl18_73
    | spl18_85 ),
    inference(avatar_contradiction_clause,[],[f7257]) ).

fof(f7257,plain,
    ( $false
    | spl18_73
    | spl18_85 ),
    inference(subsumption_resolution,[],[f7256,f6372]) ).

fof(f7256,plain,
    ( err = lazy_impl(true,sK7)
    | spl18_85 ),
    inference(resolution,[],[f7046,f228]) ).

fof(f228,plain,
    ! [X0] :
      ( d(X0)
      | err = lazy_impl(true,X0) ),
    inference(definition_unfolding,[],[f163,f149]) ).

fof(f163,plain,
    ! [X0] :
      ( d(X0)
      | err = phi(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f7046,plain,
    ( ~ d(sK7)
    | spl18_85 ),
    inference(avatar_component_clause,[],[f7045]) ).

fof(f7252,plain,
    ( spl18_92
    | ~ spl18_94 ),
    inference(avatar_contradiction_clause,[],[f7251]) ).

fof(f7251,plain,
    ( $false
    | spl18_92
    | ~ spl18_94 ),
    inference(subsumption_resolution,[],[f7246,f323]) ).

fof(f7246,plain,
    ( err != lazy_impl(true,err)
    | spl18_92
    | ~ spl18_94 ),
    inference(backward_demodulation,[],[f7107,f7124]) ).

fof(f7224,plain,
    ( spl18_94
    | ~ spl18_1
    | ~ spl18_95 ),
    inference(avatar_split_clause,[],[f7223,f7128,f275,f7122]) ).

fof(f7223,plain,
    ( err = sF15
    | ~ spl18_1
    | ~ spl18_95 ),
    inference(forward_demodulation,[],[f5407,f7130]) ).

fof(f5407,plain,
    ( sF15 = lazy_impl(true,sF14)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f268,f276]) ).

fof(f7131,plain,
    ( spl18_93
    | spl18_95
    | ~ spl18_1 ),
    inference(avatar_split_clause,[],[f7113,f275,f7128,f7118]) ).

fof(f7113,plain,
    ( err = lazy_impl(true,sF14)
    | sF14 = sF15
    | ~ spl18_1 ),
    inference(superposition,[],[f5407,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( err = lazy_impl(true,X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f165,f149,f149]) ).

fof(f165,plain,
    ! [X0] :
      ( phi(X0) = X0
      | err = phi(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f7126,plain,
    ( spl18_94
    | spl18_93
    | ~ spl18_1 ),
    inference(avatar_split_clause,[],[f7115,f275,f7118,f7122]) ).

fof(f7115,plain,
    ( sF14 = sF15
    | err = sF15
    | ~ spl18_1 ),
    inference(superposition,[],[f226,f5407]) ).

fof(f7111,plain,
    ( spl18_89
    | ~ spl18_92 ),
    inference(avatar_split_clause,[],[f7110,f7106,f7091]) ).

fof(f7110,plain,
    ( err = sF16
    | ~ spl18_92 ),
    inference(backward_demodulation,[],[f269,f7108]) ).

fof(f7109,plain,
    ( spl18_90
    | spl18_92 ),
    inference(avatar_split_clause,[],[f7086,f7106,f7095]) ).

fof(f7086,plain,
    ( err = lazy_impl(true,sF15)
    | sF15 = sF16 ),
    inference(superposition,[],[f269,f226]) ).

fof(f7067,plain,
    ( ~ spl18_84
    | spl18_87 ),
    inference(avatar_contradiction_clause,[],[f7066]) ).

fof(f7066,plain,
    ( $false
    | ~ spl18_84
    | spl18_87 ),
    inference(subsumption_resolution,[],[f7065,f7009]) ).

fof(f7009,plain,
    ( ~ bool(sK7)
    | ~ spl18_84 ),
    inference(trivial_inequality_removal,[],[f7001]) ).

fof(f7001,plain,
    ( ~ bool(sK7)
    | false1 != false1
    | ~ spl18_84 ),
    inference(superposition,[],[f222,f6968]) ).

fof(f7065,plain,
    ( bool(sK7)
    | spl18_87 ),
    inference(subsumption_resolution,[],[f7064,f190]) ).

fof(f7064,plain,
    ( ~ d(true)
    | bool(sK7)
    | spl18_87 ),
    inference(subsumption_resolution,[],[f7062,f259]) ).

fof(f7062,plain,
    ( ~ bool(true)
    | ~ d(true)
    | bool(sK7)
    | spl18_87 ),
    inference(resolution,[],[f7056,f272]) ).

fof(f7056,plain,
    ( ~ forallprefers(sK7,true)
    | spl18_87 ),
    inference(avatar_component_clause,[],[f7054]) ).

fof(f6800,plain,
    ( ~ spl18_31
    | ~ spl18_73
    | spl18_76
    | ~ spl18_78 ),
    inference(avatar_contradiction_clause,[],[f6799]) ).

fof(f6799,plain,
    ( $false
    | ~ spl18_31
    | ~ spl18_73
    | spl18_76
    | ~ spl18_78 ),
    inference(subsumption_resolution,[],[f6798,f6386]) ).

fof(f6798,plain,
    ( err = sF12
    | ~ spl18_31
    | ~ spl18_73
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f6797,f323]) ).

fof(f6797,plain,
    ( lazy_impl(true,err) = sF12
    | ~ spl18_31
    | ~ spl18_73
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f1567,f6775]) ).

fof(f6775,plain,
    ( err = sK7
    | ~ spl18_73
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f6397,f6373]) ).

fof(f6788,plain,
    ( ~ spl18_73
    | ~ spl18_74
    | spl18_76
    | ~ spl18_78 ),
    inference(avatar_contradiction_clause,[],[f6787]) ).

fof(f6787,plain,
    ( $false
    | ~ spl18_73
    | ~ spl18_74
    | spl18_76
    | ~ spl18_78 ),
    inference(subsumption_resolution,[],[f6786,f6386]) ).

fof(f6786,plain,
    ( err = sF12
    | ~ spl18_73
    | ~ spl18_74
    | ~ spl18_78 ),
    inference(forward_demodulation,[],[f6377,f6775]) ).

fof(f6747,plain,
    ~ spl18_79,
    inference(avatar_contradiction_clause,[],[f6746]) ).

fof(f6746,plain,
    ( $false
    | ~ spl18_79 ),
    inference(subsumption_resolution,[],[f6745,f248]) ).

fof(f6745,plain,
    ( err = false1
    | ~ spl18_79 ),
    inference(subsumption_resolution,[],[f6730,f197]) ).

fof(f6730,plain,
    ( true = err
    | err = false1
    | ~ spl18_79 ),
    inference(resolution,[],[f6636,f233]) ).

fof(f6636,plain,
    ( bool(err)
    | ~ spl18_79 ),
    inference(avatar_component_clause,[],[f6634]) ).

fof(f6724,plain,
    ( spl18_79
    | spl18_81 ),
    inference(avatar_split_clause,[],[f6723,f6643,f6634]) ).

fof(f6723,plain,
    ( bool(err)
    | spl18_81 ),
    inference(subsumption_resolution,[],[f6722,f190]) ).

fof(f6722,plain,
    ( bool(err)
    | ~ d(true)
    | spl18_81 ),
    inference(subsumption_resolution,[],[f6720,f259]) ).

fof(f6720,plain,
    ( ~ bool(true)
    | ~ d(true)
    | bool(err)
    | spl18_81 ),
    inference(resolution,[],[f6645,f272]) ).

fof(f6645,plain,
    ( ~ forallprefers(err,true)
    | spl18_81 ),
    inference(avatar_component_clause,[],[f6643]) ).

fof(f6400,plain,
    ( spl18_71
    | spl18_75
    | ~ spl18_32 ),
    inference(avatar_split_clause,[],[f6346,f1571,f6380,f6362]) ).

fof(f6346,plain,
    ( err = sF13
    | sF12 = sF13
    | ~ spl18_32 ),
    inference(superposition,[],[f226,f1573]) ).

fof(f6399,plain,
    ( spl18_74
    | spl18_76
    | ~ spl18_31 ),
    inference(avatar_split_clause,[],[f6348,f1565,f6385,f6375]) ).

fof(f6348,plain,
    ( err = sF12
    | sF12 = sK7
    | ~ spl18_31 ),
    inference(superposition,[],[f226,f1567]) ).

fof(f6398,plain,
    ( spl18_78
    | spl18_76
    | ~ spl18_31 ),
    inference(avatar_split_clause,[],[f6353,f1565,f6385,f6395]) ).

fof(f6353,plain,
    ( err = sF12
    | lazy_impl(true,sK7) = sK7
    | ~ spl18_31 ),
    inference(superposition,[],[f1567,f226]) ).

fof(f6393,plain,
    ( spl18_75
    | spl18_77
    | ~ spl18_32 ),
    inference(avatar_split_clause,[],[f6354,f1571,f6390,f6380]) ).

fof(f6354,plain,
    ( lazy_impl(true,sF12) = sF12
    | err = sF13
    | ~ spl18_32 ),
    inference(superposition,[],[f1573,f226]) ).

fof(f6378,plain,
    ( spl18_73
    | spl18_74
    | ~ spl18_31 ),
    inference(avatar_split_clause,[],[f6356,f1565,f6375,f6371]) ).

fof(f6356,plain,
    ( sF12 = sK7
    | err = lazy_impl(true,sK7)
    | ~ spl18_31 ),
    inference(superposition,[],[f1567,f226]) ).

fof(f5305,plain,
    ( spl18_2
    | ~ spl18_11 ),
    inference(avatar_contradiction_clause,[],[f5304]) ).

fof(f5304,plain,
    ( $false
    | spl18_2
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f4215,f259]) ).

fof(f4215,plain,
    ( ~ bool(true)
    | spl18_2
    | ~ spl18_11 ),
    inference(backward_demodulation,[],[f280,f475]) ).

fof(f2783,plain,
    ( spl18_48
    | spl18_2
    | ~ spl18_6
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f2782,f1687,f434,f279,f2468]) ).

fof(f2782,plain,
    ( err = sF11
    | spl18_2
    | ~ spl18_6
    | ~ spl18_37 ),
    inference(forward_demodulation,[],[f2780,f1228]) ).

fof(f1228,plain,
    ( err = impl(false1,sF9)
    | spl18_2
    | ~ spl18_6 ),
    inference(forward_demodulation,[],[f1227,f436]) ).

fof(f436,plain,
    ( err = lazy_impl(true,sF9)
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1227,plain,
    ( lazy_impl(true,sF9) = impl(false1,sF9)
    | spl18_2 ),
    inference(resolution,[],[f511,f280]) ).

fof(f2780,plain,
    ( impl(false1,sF9) = sF11
    | ~ spl18_37 ),
    inference(backward_demodulation,[],[f264,f1689]) ).

fof(f2777,plain,
    ( spl18_53
    | spl18_28 ),
    inference(avatar_split_clause,[],[f1728,f1539,f2513]) ).

fof(f1728,plain,
    ( true = prop(sK8)
    | lazy_impl(true,sK8) = sF17 ),
    inference(superposition,[],[f401,f270]) ).

fof(f401,plain,
    ! [X6,X7] :
      ( lazy_impl(true,X6) = or1(X6,X7)
      | true = prop(X6) ),
    inference(resolution,[],[f246,f211]) ).

fof(f2506,plain,
    ( spl18_48
    | spl18_47
    | ~ spl18_29 ),
    inference(avatar_split_clause,[],[f2422,f1543,f2464,f2468]) ).

fof(f2422,plain,
    ( sK8 = sF11
    | err = sF11
    | ~ spl18_29 ),
    inference(superposition,[],[f226,f1545]) ).

fof(f2504,plain,
    ( spl18_42
    | spl18_28
    | ~ spl18_29 ),
    inference(avatar_split_clause,[],[f2503,f1543,f1539,f2440]) ).

fof(f2503,plain,
    ( ! [X3] : impl(sK8,X3) = sF11
    | spl18_28
    | ~ spl18_29 ),
    inference(subsumption_resolution,[],[f2415,f1540]) ).

fof(f2415,plain,
    ( ! [X3] :
        ( true = prop(sK8)
        | impl(sK8,X3) = sF11 )
    | ~ spl18_29 ),
    inference(superposition,[],[f1545,f354]) ).

fof(f2496,plain,
    ( spl18_51
    | spl18_47
    | ~ spl18_29 ),
    inference(avatar_split_clause,[],[f2408,f1543,f2464,f2493]) ).

fof(f2408,plain,
    ( sK8 = sF11
    | err = lazy_impl(true,sK8)
    | ~ spl18_29 ),
    inference(superposition,[],[f1545,f226]) ).

fof(f2489,plain,
    ( spl18_50
    | spl18_48
    | ~ spl18_29 ),
    inference(avatar_split_clause,[],[f2407,f1543,f2468,f2486]) ).

fof(f2407,plain,
    ( err = sF11
    | sK8 = lazy_impl(true,sK8)
    | ~ spl18_29 ),
    inference(superposition,[],[f1545,f226]) ).

fof(f2303,plain,
    ( spl18_39
    | spl18_40
    | ~ spl18_30 ),
    inference(avatar_split_clause,[],[f2302,f1561,f2297,f2293]) ).

fof(f2302,plain,
    ( false1 = sK7
    | true = sK7
    | ~ spl18_30 ),
    inference(subsumption_resolution,[],[f2277,f247]) ).

fof(f2277,plain,
    ( true = sK7
    | false1 = sK7
    | true = false1
    | ~ spl18_30 ),
    inference(superposition,[],[f348,f1563]) ).

fof(f1563,plain,
    ( true = prop(sK7)
    | ~ spl18_30 ),
    inference(avatar_component_clause,[],[f1561]) ).

fof(f348,plain,
    ! [X1] :
      ( false1 = prop(X1)
      | true = X1
      | false1 = X1 ),
    inference(resolution,[],[f233,f223]) ).

fof(f1692,plain,
    ( spl18_36
    | spl18_37
    | ~ spl18_28 ),
    inference(avatar_split_clause,[],[f1691,f1539,f1687,f1683]) ).

fof(f1691,plain,
    ( false1 = sK8
    | true = sK8
    | ~ spl18_28 ),
    inference(subsumption_resolution,[],[f1672,f247]) ).

fof(f1672,plain,
    ( true = sK8
    | true = false1
    | false1 = sK8
    | ~ spl18_28 ),
    inference(superposition,[],[f348,f1541]) ).

fof(f1541,plain,
    ( true = prop(sK8)
    | ~ spl18_28 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1590,plain,
    ( spl18_31
    | spl18_30 ),
    inference(avatar_split_clause,[],[f1518,f1561,f1565]) ).

fof(f1518,plain,
    ( true = prop(sK7)
    | sF12 = lazy_impl(true,sK7) ),
    inference(superposition,[],[f265,f354]) ).

fof(f1589,plain,
    ( spl18_34
    | spl18_35 ),
    inference(avatar_split_clause,[],[f1521,f1585,f1581]) ).

fof(f1521,plain,
    ( true = prop(sF11)
    | sF14 = lazy_impl(true,sF11) ),
    inference(superposition,[],[f267,f354]) ).

fof(f1579,plain,
    ( spl18_32
    | spl18_33 ),
    inference(avatar_split_clause,[],[f1474,f1575,f1571]) ).

fof(f1474,plain,
    ( true = prop(sF12)
    | lazy_impl(true,sF12) = sF13 ),
    inference(superposition,[],[f354,f266]) ).

fof(f1569,plain,
    ( spl18_28
    | spl18_29 ),
    inference(avatar_split_clause,[],[f1519,f1543,f1539]) ).

fof(f1519,plain,
    ( lazy_impl(true,sK8) = sF11
    | true = prop(sK8) ),
    inference(superposition,[],[f264,f354]) ).

fof(f1412,plain,
    ~ spl18_25,
    inference(avatar_contradiction_clause,[],[f1411]) ).

fof(f1411,plain,
    ( $false
    | ~ spl18_25 ),
    inference(subsumption_resolution,[],[f1410,f247]) ).

fof(f1410,plain,
    ( true = false1
    | ~ spl18_25 ),
    inference(subsumption_resolution,[],[f1409,f248]) ).

fof(f1409,plain,
    ( err = false1
    | true = false1
    | ~ spl18_25 ),
    inference(subsumption_resolution,[],[f1384,f197]) ).

fof(f1384,plain,
    ( true = err
    | err = false1
    | true = false1
    | ~ spl18_25 ),
    inference(superposition,[],[f1315,f348]) ).

fof(f1315,plain,
    ( true = prop(err)
    | ~ spl18_25 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1049,plain,
    ( ~ spl18_20
    | ~ spl18_23 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | ~ spl18_20
    | ~ spl18_23 ),
    inference(subsumption_resolution,[],[f1047,f248]) ).

fof(f1047,plain,
    ( err = false1
    | ~ spl18_20
    | ~ spl18_23 ),
    inference(backward_demodulation,[],[f325,f1044]) ).

fof(f1044,plain,
    ( err = lazy_impl(true,false1)
    | ~ spl18_20
    | ~ spl18_23 ),
    inference(forward_demodulation,[],[f1043,f325]) ).

fof(f1043,plain,
    ( err = lazy_impl(true,lazy_impl(true,false1))
    | ~ spl18_20
    | ~ spl18_23 ),
    inference(forward_demodulation,[],[f785,f936]) ).

fof(f785,plain,
    ( err = lazy_impl(true,lazy_impl(true,sK5))
    | ~ spl18_20 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f1012,plain,
    ( ~ spl18_12
    | spl18_16
    | ~ spl18_21 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | ~ spl18_12
    | spl18_16
    | ~ spl18_21 ),
    inference(subsumption_resolution,[],[f1010,f915]) ).

fof(f915,plain,
    ( bool(sK5)
    | ~ spl18_12 ),
    inference(trivial_inequality_removal,[],[f906]) ).

fof(f906,plain,
    ( bool(sK5)
    | true != true
    | ~ spl18_12 ),
    inference(superposition,[],[f210,f707]) ).

fof(f707,plain,
    ( true = prop(sK5)
    | ~ spl18_12 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl18_12
  <=> true = prop(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).

fof(f210,plain,
    ! [X0] :
      ( true != prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f1010,plain,
    ( ~ bool(sK5)
    | ~ spl18_12
    | spl18_16
    | ~ spl18_21 ),
    inference(forward_demodulation,[],[f837,f792]) ).

fof(f792,plain,
    ( lazy_impl(true,sK5) = sK5
    | ~ spl18_21 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl18_21
  <=> lazy_impl(true,sK5) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).

fof(f837,plain,
    ( ~ bool(lazy_impl(true,sK5))
    | ~ spl18_12
    | spl18_16 ),
    inference(forward_demodulation,[],[f756,f707]) ).

fof(f756,plain,
    ( ~ bool(lazy_impl(prop(sK5),sK5))
    | spl18_16 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl18_16
  <=> bool(lazy_impl(prop(sK5),sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).

fof(f963,plain,
    ( ~ spl18_12
    | ~ spl18_22 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f962,plain,
    ( $false
    | ~ spl18_12
    | ~ spl18_22 ),
    inference(subsumption_resolution,[],[f961,f261]) ).

fof(f961,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl18_12
    | ~ spl18_22 ),
    inference(forward_demodulation,[],[f960,f324]) ).

fof(f960,plain,
    ( ~ forallprefers(false1,lazy_impl(true,true))
    | ~ spl18_12
    | ~ spl18_22 ),
    inference(forward_demodulation,[],[f824,f932]) ).

fof(f932,plain,
    ( true = sK5
    | ~ spl18_22 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl18_22
  <=> true = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).

fof(f824,plain,
    ( ~ forallprefers(false1,lazy_impl(true,sK5))
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f385,f707]) ).

fof(f385,plain,
    ~ forallprefers(false1,lazy_impl(prop(sK5),sK5)),
    inference(forward_demodulation,[],[f372,f325]) ).

fof(f372,plain,
    ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK5),sK5)),
    inference(superposition,[],[f236,f283]) ).

fof(f283,plain,
    true = prop(false1),
    inference(resolution,[],[f211,f258]) ).

fof(f236,plain,
    ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK5),sK5)),
    inference(definition_unfolding,[],[f180,f187,f187]) ).

fof(f187,plain,
    ! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).

fof(f180,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK5)),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ! [X1] : ~ forallprefers(f7(X1),f7(sK5))
    & false2 = phi(f7(sK5)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f102,f134]) ).

fof(f134,plain,
    ( ? [X0] :
        ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
        & false2 = phi(f7(X0)) )
   => ( ! [X1] : ~ forallprefers(f7(X1),f7(sK5))
      & false2 = phi(f7(sK5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ? [X0] :
      ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ? [X0] :
      ( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ? [X4] :
      ( false2 = phi(f7(X4))
      & ~ ? [X9] : forallprefers(f7(X9),f7(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).

fof(f937,plain,
    ( spl18_22
    | spl18_23
    | ~ spl18_12 ),
    inference(avatar_split_clause,[],[f923,f705,f934,f930]) ).

fof(f923,plain,
    ( false1 = sK5
    | true = sK5
    | ~ spl18_12 ),
    inference(resolution,[],[f915,f233]) ).

fof(f833,plain,
    ( spl18_20
    | ~ spl18_12
    | ~ spl18_17 ),
    inference(avatar_split_clause,[],[f832,f767,f705,f783]) ).

fof(f767,plain,
    ( spl18_17
  <=> err = false2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).

fof(f832,plain,
    ( err = lazy_impl(true,lazy_impl(true,sK5))
    | ~ spl18_12
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f831,f432]) ).

fof(f432,plain,
    ! [X0] :
      ( err != X0
      | err = lazy_impl(true,X0) ),
    inference(equality_factoring,[],[f226]) ).

fof(f831,plain,
    ( err = lazy_impl(true,lazy_impl(true,sK5))
    | err = lazy_impl(true,sK5)
    | ~ spl18_12
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f830,f769]) ).

fof(f769,plain,
    ( err = false2
    | ~ spl18_17 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f830,plain,
    ( false2 = lazy_impl(true,sK5)
    | err = lazy_impl(true,lazy_impl(true,sK5))
    | ~ spl18_12 ),
    inference(forward_demodulation,[],[f829,f707]) ).

fof(f829,plain,
    ( err = lazy_impl(true,lazy_impl(prop(sK5),sK5))
    | false2 = lazy_impl(true,sK5)
    | ~ spl18_12 ),
    inference(forward_demodulation,[],[f798,f707]) ).

fof(f798,plain,
    ( false2 = lazy_impl(prop(sK5),sK5)
    | err = lazy_impl(true,lazy_impl(prop(sK5),sK5)) ),
    inference(superposition,[],[f237,f226]) ).

fof(f237,plain,
    false2 = lazy_impl(true,lazy_impl(prop(sK5),sK5)),
    inference(definition_unfolding,[],[f179,f149,f187]) ).

fof(f179,plain,
    false2 = phi(f7(sK5)),
    inference(cnf_transformation,[],[f135]) ).

fof(f817,plain,
    spl18_12,
    inference(avatar_contradiction_clause,[],[f816]) ).

fof(f816,plain,
    ( $false
    | spl18_12 ),
    inference(subsumption_resolution,[],[f811,f261]) ).

fof(f811,plain,
    ( ~ forallprefers(false1,true)
    | spl18_12 ),
    inference(backward_demodulation,[],[f385,f808]) ).

fof(f808,plain,
    ( true = lazy_impl(prop(sK5),sK5)
    | spl18_12 ),
    inference(forward_demodulation,[],[f807,f805]) ).

fof(f805,plain,
    ( true = lazy_impl(true,lazy_impl(prop(sK5),sK5))
    | spl18_12 ),
    inference(backward_demodulation,[],[f237,f804]) ).

fof(f804,plain,
    ( true = false2
    | spl18_12 ),
    inference(forward_demodulation,[],[f803,f324]) ).

fof(f803,plain,
    ( false2 = lazy_impl(true,true)
    | spl18_12 ),
    inference(forward_demodulation,[],[f802,f249]) ).

fof(f802,plain,
    ( false2 = lazy_impl(true,lazy_impl(false1,sK5))
    | spl18_12 ),
    inference(subsumption_resolution,[],[f797,f706]) ).

fof(f706,plain,
    ( true != prop(sK5)
    | spl18_12 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f797,plain,
    ( true = prop(sK5)
    | false2 = lazy_impl(true,lazy_impl(false1,sK5)) ),
    inference(superposition,[],[f237,f294]) ).

fof(f807,plain,
    ( lazy_impl(prop(sK5),sK5) = lazy_impl(true,lazy_impl(prop(sK5),sK5))
    | spl18_12 ),
    inference(subsumption_resolution,[],[f806,f197]) ).

fof(f806,plain,
    ( true = err
    | lazy_impl(prop(sK5),sK5) = lazy_impl(true,lazy_impl(prop(sK5),sK5))
    | spl18_12 ),
    inference(forward_demodulation,[],[f799,f804]) ).

fof(f799,plain,
    ( err = false2
    | lazy_impl(prop(sK5),sK5) = lazy_impl(true,lazy_impl(prop(sK5),sK5)) ),
    inference(superposition,[],[f237,f226]) ).

fof(f793,plain,
    ( spl18_21
    | spl18_17
    | ~ spl18_12 ),
    inference(avatar_split_clause,[],[f788,f705,f767,f790]) ).

fof(f788,plain,
    ( err = false2
    | lazy_impl(true,sK5) = sK5
    | ~ spl18_12 ),
    inference(forward_demodulation,[],[f761,f323]) ).

fof(f761,plain,
    ( lazy_impl(true,sK5) = sK5
    | false2 = lazy_impl(true,err)
    | ~ spl18_12 ),
    inference(superposition,[],[f758,f226]) ).

fof(f758,plain,
    ( false2 = lazy_impl(true,lazy_impl(true,sK5))
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f237,f707]) ).

fof(f757,plain,
    ( spl18_15
    | ~ spl18_16
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f419,f376,f754,f751]) ).

fof(f376,plain,
    ( spl18_4
  <=> d(lazy_impl(prop(sK5),sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ d(lazy_impl(prop(sK5),sK5))
      | ~ bool(lazy_impl(prop(sK5),sK5))
      | bool(lazy_impl(prop(X0),X0)) ),
    inference(resolution,[],[f272,f236]) ).

fof(f743,plain,
    ( spl18_4
    | ~ spl18_12 ),
    inference(avatar_contradiction_clause,[],[f742]) ).

fof(f742,plain,
    ( $false
    | spl18_4
    | ~ spl18_12 ),
    inference(subsumption_resolution,[],[f741,f189]) ).

fof(f741,plain,
    ( ~ d(err)
    | spl18_4
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f730,f736]) ).

fof(f736,plain,
    ( err = lazy_impl(true,sK5)
    | spl18_4
    | ~ spl18_12 ),
    inference(subsumption_resolution,[],[f734,f228]) ).

fof(f734,plain,
    ( err = lazy_impl(true,sK5)
    | ~ d(sK5)
    | spl18_4
    | ~ spl18_12 ),
    inference(superposition,[],[f730,f226]) ).

fof(f730,plain,
    ( ~ d(lazy_impl(true,sK5))
    | spl18_4
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f378,f707]) ).

fof(f378,plain,
    ( ~ d(lazy_impl(prop(sK5),sK5))
    | spl18_4 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f476,plain,
    ( spl18_10
    | spl18_11
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f464,f279,f473,f469]) ).

fof(f464,plain,
    ( true = sF9
    | false1 = sF9
    | ~ spl18_2 ),
    inference(resolution,[],[f281,f233]) ).

fof(f281,plain,
    ( bool(sF9)
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f451,plain,
    ( spl18_8
    | spl18_9
    | spl18_2 ),
    inference(avatar_split_clause,[],[f429,f279,f448,f443]) ).

fof(f429,plain,
    ( lazy_impl(true,sF9) = sF9
    | err = not1(sF9)
    | spl18_2 ),
    inference(superposition,[],[f346,f226]) ).

fof(f346,plain,
    ( lazy_impl(true,sF9) = not1(sF9)
    | spl18_2 ),
    inference(resolution,[],[f232,f280]) ).

fof(f301,plain,
    ( spl18_1
    | ~ spl18_2 ),
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | spl18_1
    | ~ spl18_2 ),
    inference(subsumption_resolution,[],[f299,f277]) ).

fof(f277,plain,
    ( true != sF10
    | spl18_1 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f299,plain,
    ( true = sF10
    | ~ spl18_2 ),
    inference(backward_demodulation,[],[f263,f298]) ).

fof(f298,plain,
    ( true = prop(sF9)
    | ~ spl18_2 ),
    inference(resolution,[],[f281,f211]) ).

fof(f297,plain,
    ( spl18_3
    | spl18_2 ),
    inference(avatar_split_clause,[],[f296,f279,f290]) ).

fof(f296,plain,
    ( false1 = sF10
    | spl18_2 ),
    inference(backward_demodulation,[],[f263,f295]) ).

fof(f295,plain,
    ( false1 = prop(sF9)
    | spl18_2 ),
    inference(resolution,[],[f280,f223]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW098+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 20:16:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (20859)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (20873)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (20867)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (20865)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (20857)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.56  % (20859)Instruction limit reached!
% 1.49/0.56  % (20859)------------------------------
% 1.49/0.56  % (20859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (20875)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.56  % (20859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (20859)Termination reason: Unknown
% 1.49/0.56  % (20859)Termination phase: Property scanning
% 1.49/0.56  
% 1.49/0.56  % (20859)Memory used [KB]: 1023
% 1.49/0.56  % (20859)Time elapsed: 0.005 s
% 1.49/0.56  % (20859)Instructions burned: 3 (million)
% 1.49/0.56  % (20859)------------------------------
% 1.49/0.56  % (20859)------------------------------
% 1.69/0.58  TRYING [3]
% 1.69/0.59  % (20856)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.69/0.59  % (20858)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.69/0.59  % (20876)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.69/0.60  % (20868)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.69/0.61  % (20880)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.69/0.61  % (20855)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.61  % (20854)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.61  % (20852)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.69/0.61  % (20851)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.69/0.61  % (20860)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.61  % (20872)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.69/0.62  % (20871)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.69/0.62  % (20870)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.62  % (20858)Instruction limit reached!
% 1.69/0.62  % (20858)------------------------------
% 1.69/0.62  % (20858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62  % (20858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62  % (20858)Termination reason: Unknown
% 1.69/0.62  % (20858)Termination phase: Saturation
% 1.69/0.62  
% 1.69/0.62  % (20858)Memory used [KB]: 5628
% 1.69/0.62  % (20858)Time elapsed: 0.195 s
% 1.69/0.62  % (20858)Instructions burned: 7 (million)
% 1.69/0.62  % (20858)------------------------------
% 1.69/0.62  % (20858)------------------------------
% 1.69/0.62  % (20866)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.69/0.62  % (20864)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.69/0.62  % (20879)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.69/0.62  % (20862)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.62  % (20874)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.69/0.62  % (20853)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.69/0.63  % (20878)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.69/0.63  % (20863)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.69/0.63  TRYING [3]
% 1.69/0.63  % (20869)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.64  % (20857)Instruction limit reached!
% 1.69/0.64  % (20857)------------------------------
% 1.69/0.64  % (20857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (20861)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.69/0.64  TRYING [3]
% 1.69/0.64  % (20857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (20857)Termination reason: Unknown
% 1.69/0.64  % (20857)Termination phase: Finite model building SAT solving
% 1.69/0.64  
% 1.69/0.64  % (20857)Memory used [KB]: 8443
% 1.69/0.64  % (20857)Time elapsed: 0.172 s
% 1.69/0.64  % (20857)Instructions burned: 51 (million)
% 1.69/0.64  % (20857)------------------------------
% 1.69/0.64  % (20857)------------------------------
% 1.69/0.64  % (20877)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.32/0.66  % (20852)Refutation not found, incomplete strategy% (20852)------------------------------
% 2.32/0.66  % (20852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66  % (20852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66  % (20852)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.66  
% 2.32/0.66  % (20852)Memory used [KB]: 5756
% 2.32/0.66  % (20852)Time elapsed: 0.185 s
% 2.32/0.66  % (20852)Instructions burned: 16 (million)
% 2.32/0.66  % (20852)------------------------------
% 2.32/0.66  % (20852)------------------------------
% 2.51/0.70  % (20865)Instruction limit reached!
% 2.51/0.70  % (20865)------------------------------
% 2.51/0.70  % (20865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70  % (20865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (20865)Termination reason: Unknown
% 2.51/0.70  % (20865)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (20865)Memory used [KB]: 6780
% 2.51/0.70  % (20865)Time elapsed: 0.095 s
% 2.51/0.70  % (20865)Instructions burned: 68 (million)
% 2.51/0.70  % (20865)------------------------------
% 2.51/0.70  % (20865)------------------------------
% 2.80/0.73  % (20856)Instruction limit reached!
% 2.80/0.73  % (20856)------------------------------
% 2.80/0.73  % (20856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.73  % (20856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.73  % (20856)Termination reason: Unknown
% 2.80/0.73  % (20856)Termination phase: Saturation
% 2.80/0.73  
% 2.80/0.73  % (20856)Memory used [KB]: 6140
% 2.80/0.73  % (20856)Time elapsed: 0.301 s
% 2.80/0.73  % (20856)Instructions burned: 49 (million)
% 2.80/0.73  % (20856)------------------------------
% 2.80/0.73  % (20856)------------------------------
% 2.80/0.73  % (20853)Instruction limit reached!
% 2.80/0.73  % (20853)------------------------------
% 2.80/0.73  % (20853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.73  % (20853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.73  % (20853)Termination reason: Unknown
% 2.80/0.73  % (20853)Termination phase: Saturation
% 2.80/0.73  
% 2.80/0.73  % (20853)Memory used [KB]: 1407
% 2.80/0.73  % (20853)Time elapsed: 0.285 s
% 2.80/0.73  % (20853)Instructions burned: 38 (million)
% 2.80/0.73  % (20853)------------------------------
% 2.80/0.73  % (20853)------------------------------
% 2.80/0.73  % (20868)Instruction limit reached!
% 2.80/0.73  % (20868)------------------------------
% 2.80/0.73  % (20868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.73  % (20868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.73  % (20868)Termination reason: Unknown
% 2.80/0.73  % (20868)Termination phase: Finite model building SAT solving
% 2.80/0.73  
% 2.80/0.73  % (20868)Memory used [KB]: 8699
% 2.80/0.73  % (20868)Time elapsed: 0.190 s
% 2.80/0.73  % (20868)Instructions burned: 61 (million)
% 2.80/0.73  % (20868)------------------------------
% 2.80/0.73  % (20868)------------------------------
% 2.96/0.75  TRYING [4]
% 2.96/0.75  % (20854)Instruction limit reached!
% 2.96/0.75  % (20854)------------------------------
% 2.96/0.75  % (20854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.75  % (20854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.75  % (20854)Termination reason: Unknown
% 2.96/0.75  % (20854)Termination phase: Saturation
% 2.96/0.75  
% 2.96/0.75  % (20854)Memory used [KB]: 6140
% 2.96/0.75  % (20854)Time elapsed: 0.324 s
% 2.96/0.75  % (20854)Instructions burned: 51 (million)
% 2.96/0.75  % (20854)------------------------------
% 2.96/0.75  % (20854)------------------------------
% 2.96/0.75  % (20855)Instruction limit reached!
% 2.96/0.75  % (20855)------------------------------
% 2.96/0.75  % (20855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.75  % (20855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.75  % (20855)Termination reason: Unknown
% 2.96/0.75  % (20855)Termination phase: Saturation
% 2.96/0.75  
% 2.96/0.75  % (20855)Memory used [KB]: 6012
% 2.96/0.75  % (20855)Time elapsed: 0.325 s
% 2.96/0.75  % (20855)Instructions burned: 52 (million)
% 2.96/0.75  % (20855)------------------------------
% 2.96/0.75  % (20855)------------------------------
% 2.96/0.76  % (20867)Instruction limit reached!
% 2.96/0.76  % (20867)------------------------------
% 2.96/0.76  % (20867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.76  % (20867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.76  % (20867)Termination reason: Unknown
% 2.96/0.76  % (20867)Termination phase: Saturation
% 2.96/0.76  
% 2.96/0.76  % (20867)Memory used [KB]: 6780
% 2.96/0.76  % (20867)Time elapsed: 0.317 s
% 2.96/0.76  % (20867)Instructions burned: 99 (million)
% 2.96/0.76  % (20867)------------------------------
% 2.96/0.76  % (20867)------------------------------
% 2.96/0.76  % (20860)Instruction limit reached!
% 2.96/0.76  % (20860)------------------------------
% 2.96/0.76  % (20860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.76  % (20860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.76  % (20860)Termination reason: Unknown
% 2.96/0.76  % (20860)Termination phase: Saturation
% 2.96/0.76  
% 2.96/0.76  % (20860)Memory used [KB]: 1918
% 2.96/0.76  % (20860)Time elapsed: 0.280 s
% 2.96/0.76  % (20860)Instructions burned: 51 (million)
% 2.96/0.76  % (20860)------------------------------
% 2.96/0.76  % (20860)------------------------------
% 2.96/0.76  % (20883)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.96/0.78  % (20861)Instruction limit reached!
% 2.96/0.78  % (20861)------------------------------
% 2.96/0.78  % (20861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.78  % (20861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.78  % (20861)Termination reason: Unknown
% 2.96/0.78  % (20861)Termination phase: Saturation
% 2.96/0.78  
% 2.96/0.78  % (20861)Memory used [KB]: 6140
% 2.96/0.78  % (20861)Time elapsed: 0.340 s
% 2.96/0.78  % (20861)Instructions burned: 51 (million)
% 2.96/0.78  % (20861)------------------------------
% 2.96/0.78  % (20861)------------------------------
% 2.96/0.79  % (20891)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.36/0.82  % (20866)Instruction limit reached!
% 3.36/0.82  % (20866)------------------------------
% 3.36/0.82  % (20866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.82  % (20866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.82  % (20866)Termination reason: Unknown
% 3.36/0.82  % (20866)Termination phase: Saturation
% 3.36/0.82  
% 3.36/0.82  % (20866)Memory used [KB]: 1791
% 3.36/0.82  % (20866)Time elapsed: 0.379 s
% 3.36/0.82  % (20866)Instructions burned: 75 (million)
% 3.36/0.82  % (20866)------------------------------
% 3.36/0.82  % (20866)------------------------------
% 3.36/0.83  % (20877)Instruction limit reached!
% 3.36/0.83  % (20877)------------------------------
% 3.36/0.83  % (20877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.83  % (20877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.83  % (20877)Termination reason: Unknown
% 3.36/0.83  % (20877)Termination phase: Saturation
% 3.36/0.83  
% 3.36/0.83  % (20877)Memory used [KB]: 6780
% 3.36/0.83  % (20877)Time elapsed: 0.057 s
% 3.36/0.83  % (20877)Instructions burned: 68 (million)
% 3.36/0.83  % (20877)------------------------------
% 3.36/0.83  % (20877)------------------------------
% 3.36/0.85  % (20864)Instruction limit reached!
% 3.36/0.85  % (20864)------------------------------
% 3.36/0.85  % (20864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.85  % (20864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.85  % (20864)Termination reason: Unknown
% 3.36/0.85  % (20864)Termination phase: Saturation
% 3.36/0.85  
% 3.36/0.85  % (20864)Memory used [KB]: 6780
% 3.36/0.85  % (20864)Time elapsed: 0.411 s
% 3.36/0.85  % (20864)Instructions burned: 100 (million)
% 3.36/0.85  % (20864)------------------------------
% 3.36/0.85  % (20864)------------------------------
% 3.36/0.86  % (20888)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.36/0.86  % (20870)Instruction limit reached!
% 3.36/0.86  % (20870)------------------------------
% 3.36/0.86  % (20870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.86  % (20870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.86  % (20870)Termination reason: Unknown
% 3.36/0.86  % (20870)Termination phase: Saturation
% 3.36/0.86  
% 3.36/0.86  % (20870)Memory used [KB]: 2046
% 3.36/0.86  % (20870)Time elapsed: 0.426 s
% 3.36/0.86  % (20870)Instructions burned: 101 (million)
% 3.36/0.86  % (20870)------------------------------
% 3.36/0.86  % (20870)------------------------------
% 3.36/0.87  % (20862)Instruction limit reached!
% 3.36/0.87  % (20862)------------------------------
% 3.36/0.87  % (20862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.87  % (20862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.87  % (20862)Termination reason: Unknown
% 3.36/0.87  % (20862)Termination phase: Saturation
% 3.36/0.87  
% 3.36/0.87  % (20862)Memory used [KB]: 6780
% 3.36/0.87  % (20862)Time elapsed: 0.449 s
% 3.36/0.87  % (20862)Instructions burned: 101 (million)
% 3.36/0.87  % (20862)------------------------------
% 3.36/0.87  % (20862)------------------------------
% 3.65/0.88  % (20863)Instruction limit reached!
% 3.65/0.88  % (20863)------------------------------
% 3.65/0.88  % (20863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.88  % (20863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.88  % (20863)Termination reason: Unknown
% 3.65/0.88  % (20863)Termination phase: Saturation
% 3.65/0.88  
% 3.65/0.88  % (20863)Memory used [KB]: 6780
% 3.65/0.88  % (20863)Time elapsed: 0.440 s
% 3.65/0.88  % (20863)Instructions burned: 102 (million)
% 3.65/0.88  % (20863)------------------------------
% 3.65/0.88  % (20863)------------------------------
% 3.65/0.89  % (20872)Instruction limit reached!
% 3.65/0.89  % (20872)------------------------------
% 3.65/0.89  % (20872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.90  % (20872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.90  % (20872)Termination reason: Unknown
% 3.65/0.90  % (20872)Termination phase: Saturation
% 3.65/0.90  
% 3.65/0.90  % (20872)Memory used [KB]: 7419
% 3.65/0.90  % (20872)Time elapsed: 0.465 s
% 3.65/0.90  % (20872)Instructions burned: 139 (million)
% 3.65/0.90  % (20872)------------------------------
% 3.65/0.90  % (20872)------------------------------
% 3.65/0.91  % (20891)Instruction limit reached!
% 3.65/0.91  % (20891)------------------------------
% 3.65/0.91  % (20891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.91  % (20891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.91  % (20891)Termination reason: Unknown
% 3.65/0.91  % (20891)Termination phase: Saturation
% 3.65/0.91  
% 3.65/0.91  % (20891)Memory used [KB]: 6396
% 3.65/0.91  % (20891)Time elapsed: 0.165 s
% 3.65/0.91  % (20891)Instructions burned: 90 (million)
% 3.65/0.91  % (20891)------------------------------
% 3.65/0.91  % (20891)------------------------------
% 3.65/0.93  % (20894)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.65/0.93  % (20905)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 4.06/0.96  % (20869)Instruction limit reached!
% 4.06/0.96  % (20869)------------------------------
% 4.06/0.96  % (20869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/0.96  % (20869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/0.96  % (20869)Termination reason: Unknown
% 4.06/0.96  % (20869)Termination phase: Saturation
% 4.06/0.96  
% 4.06/0.96  % (20869)Memory used [KB]: 7164
% 4.06/0.96  % (20869)Time elapsed: 0.518 s
% 4.06/0.96  % (20869)Instructions burned: 100 (million)
% 4.06/0.96  % (20869)------------------------------
% 4.06/0.96  % (20869)------------------------------
% 4.06/0.97  % (20902)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 4.15/1.00  % (20903)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 4.15/1.00  % (20896)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 4.15/1.01  % (20921)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.26/1.03  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.26/1.03  % (20922)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.26/1.03  % (20900)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 4.26/1.04  % (20906)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.26/1.04  % (20871)Instruction limit reached!
% 4.26/1.04  % (20871)------------------------------
% 4.26/1.04  % (20871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.26/1.04  % (20871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.26/1.04  % (20871)Termination reason: Unknown
% 4.26/1.04  % (20871)Termination phase: Saturation
% 4.26/1.04  
% 4.26/1.04  % (20871)Memory used [KB]: 6524
% 4.26/1.04  % (20871)Time elapsed: 0.621 s
% 4.26/1.04  % (20871)Instructions burned: 176 (million)
% 4.26/1.04  % (20871)------------------------------
% 4.26/1.04  % (20871)------------------------------
% 4.26/1.04  % (20915)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.26/1.05  % (20904)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 4.26/1.06  % (20901)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 4.26/1.07  % (20878)Instruction limit reached!
% 4.26/1.07  % (20878)------------------------------
% 4.26/1.07  % (20878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.26/1.07  % (20878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.26/1.07  % (20878)Termination reason: Unknown
% 4.26/1.07  % (20878)Termination phase: Saturation
% 4.26/1.07  
% 4.26/1.07  % (20878)Memory used [KB]: 2686
% 4.26/1.07  % (20878)Time elapsed: 0.650 s
% 4.26/1.07  % (20878)Instructions burned: 177 (million)
% 4.26/1.07  % (20878)------------------------------
% 4.26/1.07  % (20878)------------------------------
% 5.55/1.09  % (20919)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 5.55/1.10  % (20918)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 5.55/1.11  % (20909)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 5.55/1.13  % (20920)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 5.55/1.14  % (20880)Instruction limit reached!
% 5.55/1.14  % (20880)------------------------------
% 5.55/1.14  % (20880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.55/1.14  % (20905)Instruction limit reached!
% 5.55/1.14  % (20905)------------------------------
% 5.55/1.14  % (20905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.55/1.14  % (20905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.55/1.14  % (20905)Termination reason: Unknown
% 5.55/1.14  % (20905)Termination phase: Saturation
% 5.55/1.14  
% 5.55/1.14  % (20905)Memory used [KB]: 6268
% 5.55/1.14  % (20905)Time elapsed: 0.336 s
% 5.55/1.14  % (20905)Instructions burned: 90 (million)
% 5.55/1.14  % (20905)------------------------------
% 5.55/1.14  % (20905)------------------------------
% 6.25/1.16  % (20880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.16  % (20880)Termination reason: Unknown
% 6.25/1.16  % (20880)Termination phase: Saturation
% 6.25/1.16  
% 6.25/1.16  % (20880)Memory used [KB]: 8187
% 6.25/1.16  % (20880)Time elapsed: 0.723 s
% 6.25/1.16  % (20880)Instructions burned: 356 (million)
% 6.25/1.16  % (20880)------------------------------
% 6.25/1.16  % (20880)------------------------------
% 6.25/1.16  % (20902)Instruction limit reached!
% 6.25/1.16  % (20902)------------------------------
% 6.25/1.16  % (20902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.25/1.16  % (20902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.16  % (20902)Termination reason: Unknown
% 6.25/1.16  % (20902)Termination phase: Saturation
% 6.25/1.16  
% 6.25/1.16  % (20902)Memory used [KB]: 6780
% 6.25/1.16  % (20902)Time elapsed: 0.054 s
% 6.25/1.16  % (20902)Instructions burned: 69 (million)
% 6.25/1.16  % (20902)------------------------------
% 6.25/1.16  % (20902)------------------------------
% 6.25/1.16  TRYING [5]
% 6.25/1.17  % (20916)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 6.25/1.20  % (20917)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 6.25/1.20  % (20925)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 6.64/1.24  % (20873)Instruction limit reached!
% 6.64/1.24  % (20873)------------------------------
% 6.64/1.24  % (20873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.24  % (20873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.24  % (20873)Termination reason: Unknown
% 6.64/1.24  % (20873)Termination phase: Saturation
% 6.64/1.24  
% 6.64/1.24  % (20873)Memory used [KB]: 3709
% 6.64/1.24  % (20873)Time elapsed: 0.801 s
% 6.64/1.24  % (20873)Instructions burned: 498 (million)
% 6.64/1.24  % (20873)------------------------------
% 6.64/1.24  % (20873)------------------------------
% 6.64/1.24  % (20919)Instruction limit reached!
% 6.64/1.24  % (20919)------------------------------
% 6.64/1.24  % (20919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.24  % (20919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.24  % (20919)Termination reason: Unknown
% 6.64/1.24  % (20919)Termination phase: Saturation
% 6.64/1.24  
% 6.64/1.24  % (20919)Memory used [KB]: 6780
% 6.64/1.24  % (20919)Time elapsed: 0.051 s
% 6.64/1.24  % (20919)Instructions burned: 69 (million)
% 6.64/1.24  % (20919)------------------------------
% 6.64/1.24  % (20919)------------------------------
% 6.64/1.25  % (20929)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.01/1.27  % (20928)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 7.52/1.36  % (20937)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 7.79/1.39  % (20932)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.79/1.39  % (20888)Instruction limit reached!
% 7.79/1.39  % (20888)------------------------------
% 7.79/1.39  % (20888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.39  % (20888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.39  % (20888)Termination reason: Unknown
% 7.79/1.39  % (20888)Termination phase: Saturation
% 7.79/1.39  
% 7.79/1.39  % (20888)Memory used [KB]: 3070
% 7.79/1.39  % (20888)Time elapsed: 0.713 s
% 7.79/1.39  % (20888)Instructions burned: 212 (million)
% 7.79/1.39  % (20888)------------------------------
% 7.79/1.39  % (20888)------------------------------
% 7.79/1.42  % (20938)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 8.16/1.47  % (20874)Instruction limit reached!
% 8.16/1.47  % (20874)------------------------------
% 8.16/1.47  % (20874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.16/1.47  % (20874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.16/1.47  % (20874)Termination reason: Unknown
% 8.16/1.47  % (20874)Termination phase: Saturation
% 8.16/1.47  
% 8.16/1.47  % (20874)Memory used [KB]: 6652
% 8.16/1.47  % (20874)Time elapsed: 1.003 s
% 8.16/1.47  % (20874)Instructions burned: 468 (million)
% 8.16/1.47  % (20874)------------------------------
% 8.16/1.47  % (20874)------------------------------
% 8.16/1.50  % (20935)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 8.50/1.54  % (20934)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 8.77/1.59  % (20928)Instruction limit reached!
% 8.77/1.59  % (20928)------------------------------
% 8.77/1.59  % (20928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.77/1.59  % (20928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.77/1.59  % (20928)Termination reason: Unknown
% 8.77/1.59  % (20928)Termination phase: Saturation
% 8.77/1.59  
% 8.77/1.59  % (20928)Memory used [KB]: 6140
% 8.77/1.59  % (20928)Time elapsed: 0.466 s
% 8.77/1.59  % (20928)Instructions burned: 91 (million)
% 8.77/1.59  % (20928)------------------------------
% 8.77/1.59  % (20928)------------------------------
% 8.77/1.64  % (20941)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 9.35/1.66  % (20883)Instruction limit reached!
% 9.35/1.66  % (20883)------------------------------
% 9.35/1.66  % (20883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.35/1.66  % (20883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.35/1.66  % (20883)Termination reason: Unknown
% 9.35/1.66  % (20883)Termination phase: Saturation
% 9.35/1.66  
% 9.35/1.66  % (20883)Memory used [KB]: 9594
% 9.35/1.66  % (20883)Time elapsed: 1.015 s
% 9.35/1.66  % (20883)Instructions burned: 388 (million)
% 9.35/1.66  % (20883)------------------------------
% 9.35/1.66  % (20883)------------------------------
% 9.35/1.68  % (20875)Instruction limit reached!
% 9.35/1.68  % (20875)------------------------------
% 9.35/1.68  % (20875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.35/1.68  % (20875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.35/1.68  % (20875)Termination reason: Unknown
% 9.35/1.68  % (20875)Termination phase: Saturation
% 9.35/1.68  
% 9.35/1.68  % (20875)Memory used [KB]: 9210
% 9.35/1.68  % (20875)Time elapsed: 0.878 s
% 9.35/1.68  % (20875)Instructions burned: 482 (million)
% 9.35/1.68  % (20875)------------------------------
% 9.35/1.68  % (20875)------------------------------
% 9.35/1.72  % (20943)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 10.61/1.75  % (20879)Instruction limit reached!
% 10.61/1.75  % (20879)------------------------------
% 10.61/1.75  % (20879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.61/1.75  % (20879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.61/1.75  % (20879)Termination reason: Unknown
% 10.61/1.75  % (20879)Termination phase: Saturation
% 10.61/1.75  
% 10.61/1.75  % (20879)Memory used [KB]: 8699
% 10.61/1.75  % (20879)Time elapsed: 1.327 s
% 10.61/1.75  % (20879)Instructions burned: 439 (million)
% 10.61/1.75  % (20879)------------------------------
% 10.61/1.75  % (20879)------------------------------
% 12.15/1.90  % (20947)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/44001Mi)
% 12.15/1.94  % (20948)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/4958Mi)
% 12.15/1.98  % (20944)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/90Mi)
% 12.83/2.00  % (20949)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/35256Mi)
% 14.54/2.32  % (20944)Instruction limit reached!
% 14.54/2.32  % (20944)------------------------------
% 14.54/2.32  % (20944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.54/2.32  % (20944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.54/2.32  % (20944)Termination reason: Unknown
% 14.54/2.32  % (20944)Termination phase: Saturation
% 14.54/2.32  
% 14.54/2.32  % (20944)Memory used [KB]: 6268
% 14.54/2.32  % (20944)Time elapsed: 0.657 s
% 14.54/2.32  % (20944)Instructions burned: 90 (million)
% 14.54/2.32  % (20944)------------------------------
% 14.54/2.32  % (20944)------------------------------
% 15.46/2.37  % (20876)Instruction limit reached!
% 15.46/2.37  % (20876)------------------------------
% 15.46/2.37  % (20876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.46/2.37  % (20876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.46/2.37  % (20876)Termination reason: Unknown
% 15.46/2.37  % (20876)Termination phase: Saturation
% 15.46/2.37  
% 15.46/2.37  % (20876)Memory used [KB]: 10618
% 15.46/2.37  % (20876)Time elapsed: 1.905 s
% 15.46/2.37  % (20876)Instructions burned: 500 (million)
% 15.46/2.37  % (20876)------------------------------
% 15.46/2.37  % (20876)------------------------------
% 15.46/2.39  TRYING [6]
% 16.26/2.42  % (20921)Instruction limit reached!
% 16.26/2.42  % (20921)------------------------------
% 16.26/2.42  % (20921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.26/2.42  % (20921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.26/2.42  % (20921)Termination reason: Unknown
% 16.26/2.42  % (20921)Termination phase: Saturation
% 16.26/2.42  
% 16.26/2.42  % (20921)Memory used [KB]: 22003
% 16.26/2.42  % (20921)Time elapsed: 1.469 s
% 16.26/2.42  % (20921)Instructions burned: 2134 (million)
% 16.26/2.42  % (20921)------------------------------
% 16.26/2.42  % (20921)------------------------------
% 17.66/2.64  % (20955)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/32293Mi)
% 18.26/2.76  % (20957)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10187Mi)
% 18.26/2.77  % (20956)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/37001Mi)
% 22.63/3.24  % (20901)Instruction limit reached!
% 22.63/3.24  % (20901)------------------------------
% 22.63/3.24  % (20901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.63/3.24  % (20901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.63/3.24  % (20901)Termination reason: Unknown
% 22.63/3.24  % (20901)Termination phase: Saturation
% 22.63/3.24  
% 22.63/3.24  % (20901)Memory used [KB]: 4093
% 22.63/3.24  % (20901)Time elapsed: 2.437 s
% 22.63/3.24  % (20901)Instructions burned: 656 (million)
% 22.63/3.24  % (20901)------------------------------
% 22.63/3.24  % (20901)------------------------------
% 23.98/3.44  % (20960)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/29337Mi)
% 24.38/3.44  % (20903)Instruction limit reached!
% 24.38/3.44  % (20903)------------------------------
% 24.38/3.44  % (20903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.38/3.44  % (20903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.38/3.44  % (20903)Termination reason: Unknown
% 24.38/3.44  % (20903)Termination phase: Saturation
% 24.38/3.44  
% 24.38/3.44  % (20903)Memory used [KB]: 14967
% 24.38/3.44  % (20903)Time elapsed: 2.639 s
% 24.38/3.44  % (20903)Instructions burned: 941 (million)
% 24.38/3.44  % (20903)------------------------------
% 24.38/3.44  % (20903)------------------------------
% 25.03/3.53  % (20917)First to succeed.
% 25.03/3.55  % (20917)Refutation found. Thanks to Tanya!
% 25.03/3.55  % SZS status Theorem for theBenchmark
% 25.03/3.55  % SZS output start Proof for theBenchmark
% See solution above
% 25.28/3.56  % (20917)------------------------------
% 25.28/3.56  % (20917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.28/3.56  % (20917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.28/3.56  % (20917)Termination reason: Refutation
% 25.28/3.56  
% 25.28/3.56  % (20917)Memory used [KB]: 14711
% 25.28/3.56  % (20917)Time elapsed: 2.642 s
% 25.28/3.56  % (20917)Instructions burned: 1971 (million)
% 25.28/3.56  % (20917)------------------------------
% 25.28/3.56  % (20917)------------------------------
% 25.28/3.56  % (20850)Success in time 3.194 s
%------------------------------------------------------------------------------